The values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
What are prime numbers?Prime numbers are defined as numbers that have only two factors:
The number 1Number itselfFrom the information given, we need to find the value of x as prime numbers less than 15
The prime numbers that are less than 15 are:
1, 2, 3, 5 , 7, 11, 13
Now, let's substitute each as the value of x as follows
Substitute x as 1
y = - 4(1) - 10
y = -4 - 10 = -14
Substitute x as 2
y = -4(2) -10
y = -8 - 10 = -18
Substitute x as 3
y = -4(3) - 10
y = -12 -1 0 = -22
Substitute x as 5
y = -4(5) - 10
y = -20 - 10 = -30
Substitute x as 7
y=-4(7) -10
y = -28 - 10 = -38
Substitute x as 11
y = -4(11) - 10
y = -44 - 10 = -54
Substitute x as 13
y = -4( 13) - 10
y = -52 - 10 = -62
Thus, the values of y for all the prime numbers less than 15 are -14, -18, -22, -30, -28, -54, -62
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Mai says x is a number that makes Equation A true and also a number that makes Equation B true. Equation A: − 3 ( x + 7 ) = 24 Equation B: x + 7 = − 8 Which statement explains why this is true? Multiple choice question. A) Adding 3 to both sides of Equation A gives x + 7 = − 8 . B) Applying the distributive property to Equation A gives x + 7 = − 8 . C) Subtracting 3 from both sides of Equation A gives x + 7 = − 8 . D) Dividing both sides of Equation A by -3 gives x + 7 = − 8 .
The statement that explains why this is true is (d) dividing both sides of Equation A by -3 gives x + 7 = − 8 .
How to determine which statement explains why this is true?The equations are given as
Equation A: −3(x + 7) = 24 Equation B: x + 7 = −8In equation A, we have
-3(x + 7) = 24
Divide both sides of this equation by -3
So, we have
-3(x + 7)/-3 = 24/-3
Evaluate the quotient
So, we have
x + 7 = -8
The above equation is the same as equation B
Hence, the statement that explains why this is true is (d) dividing both sides of Equation A by -3 gives x + 7 = − 8 .
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What is the scale factor of the dilation?
A. 4
B. 6
C. 12
D. 16
Scale Factor is defined as the ratio of the size of the new image to the size of the old image. The center of dilation is a fixed point in the plane. Based on the scale factor and the center of dilation, the dilation transformation is defined. If the scale factor is more than 1, then the image stretches.
For example, if a square is dilated and the side of the smaller (original) square is 4 units and the side of the dilated square (enlarged) is 12 units, then, in this case, the scale factor will be: 12 ÷ 4 = 3.
Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).
And so if you dilate it with a factor of three, then you're going to want to go three times as far down. So minus three, and three times as far to the left, so you'll go minus six.
The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
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The frequency distribution shown is constructed incorrectly.
Class
27-30
31-34
35-38
39-42
43-45
Frequency
5
3
4
8
6
Select all applicable mistakes in the frequency distribution.
The required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.
Given that,
To determine the mistakes in the frequency distribution.
Statistic is the study of mathematics that deals with relations between comprehensive data.
Table =>
Class Frequency
27-30 5
31-34 3
35-38 4
39-42 8
43-45 6
Here,
Since the class interval is of 3
But in the last class, the interval is of 2
Thus, the required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.
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angle POR and angle ROQ from linear pair . If a-b=
[tex] {80}^{0} [/tex]
find the value a and b .
Answer:
a = 130
b = 50
Explanation:
Analyze that the angles a and b lies on a straight line summing up to 180°.
Equation's:
a + b = 180 ____eq 1a - b = 80 ____eq 2make 'a' subject in eq 1
a + b = 180
a = 180 - b
substitute this into eq 2
a - b = 80
(180 - b) - b = 80
180 - 2b = 80
-2b = 80 - 180
-2b = -100
b = 50
Find value of 'a':
a = 180 - b
a = 180 - 50
a = 130
Answer:
a = 130°, b = 50°
Step-by-step explanation:
The given equation is,
→ a - b = 80°
→ a + b = 180°
The equation we form is,
→ (a + b) + (a - b) = 180 + 80
Now the required value of a will be,
→ (a + b) + (a - b) = 180 + 80
→ (a + a) + (b - b) = 260
→ 2a = 260
→ a = 260/2
→ [ a = 130° ]
Hence, the value of a is 130°.
Then the required value of b will be,
→ a + b = 180
→ 130 + b = 180
→ b = 180 - 130
→ [ b = 50° ]
Hence, the value of b is 50°.
17 POINTS HELP I GIVE BRAINLIEST A line is defined by the equation y = negative x + 3. Which shows the graph of this line?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).
On a coordinate plane, a line goes through points (0, 0) and (2, 6).
On a coordinate plane, a line goes through points (negative 2, 6) and (0, 0).
Answer:
The first answer is correct.
Step-by-step explanation:
Use the diagram to find the angle measures that satisfy each case. Find the measures of all 4 angles if m<2-m<1=30 degrees
m<1=__, m<2=__, m<3=__, m<4=__
The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
How to use the diagram to find the angle measures that satisfy each case?The diagram that completes the question is added as an attachment
From the diagram, we have
<1 + <2 = 180 degrees --- supplementary angles
Given that
<2 - <1 = 30 degrees
Add the above equations
So, we have
2<2 = 210
Divide both sides by 2
<2 = 105
Substitute <2 = 105 in <2 - <1 = 30
So, we have
105 - <1 = 30
Evaluate
<1 = 85
Also, we have
<3 = <1
<4 = <2
This means that
<3 = 85
<4 = 105
Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
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Please solve quick i need this done and i need both parts for the first box and the second
The equation of the linear function in slope intercept form is f(x) = -2x + 1
How to represent function in slope intercept form?The table can be used to write linear equation in slope intercept form.
Therefore, the equation of the linear function in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 3 - 5 / -1 + 2
m = - 2 / 1
m = -2
Therefore, the y-intercept can be solved as follows;
using (0, 1)
y = -2x + b
1 = -2x + b
1 = -2(0) + b
b = 1
Hence, the the equation of the linear function in slope intercept form is f(x) = -2x + 1
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Ann and Ben translate documents from German into English.
A set of documents that would take Ann 10 days would take Ben 12 days
Ann starts to translate the documents.
After 2 days Ann and Ben both work on translating the documents.
How many more days will it take to complete the work?
they will approximately require 4.4 days to complete the remaining work together.
Ann alone take = 10 days to translate a document.
Work done in 1 day by Ann = 1 / 10
In 2 days = 2 / 10
Work left = 8 / 10
Now, Ben alone take = 12 days to translate a document.
Work done in 1 day by Ben = 1 / 12
We will now use addition.
Combined work of both Ann and Ben in 1 day = 1 / 10 + 1 / 12 = 11 / 60
Time taken to complete the rest of the work = 8 / 10 ÷ 11 / 60
= 48 / 11 = 4.4 days.
Therefore, they will approximately require 4.4 days to complete the remaining work together.
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*Note, my question had Ann as 8 days and Ben as 12, so adjust accordingly*
Answer:
3 3/5
Step-by-step explanation:
After 2 days, 1/4 are done so 3/4 are left
1/8 + 1/12 = 10/48
3/4 ÷ 10/48
3/4 × 48/10 = 144/40 = 3 24/40 = 3 6/10 = 3 3/5
Ana has 4 pots and 7 seeds. How many fewer pots does ana have?
Ana has 3 fewer pots than she has the number of flowers.
What are some alternative names for arithmetic operations?Additions have an alternative name which is sum. Multiplication can also be called as the product, Subtraction can be called the difference and division can be called as the ratio.
To Obtain the number of fewer pots Ana has for flowers is the same as the difference between number of seeds and pots.
Number of seeds she has is 7 and the number of pots she has is 4.
∴ The number of fewer pots Ana has is ,
= (7-4) pots.
= 3 pots.
So, Ana has 3 fewer pots or Ana has 3 more seeds than the number of pots she has.
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M(- 4, 8) is the midpoint of DE. D has coordinates ( 6, 1 ). Find the coordinates of E.
I need help pls
Answer: 16, -1
Step-by-step explanation:
since the x is +10 more than d and the y is -7 less than d, you just add another +10 and -7 to get your next point
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Mrs. Jameson paid $202.50 for a group of 9 students to visit an amusement park.
Write an equation relating the total cost, y, and the number of students, x, attending the park.
The equation relating to the total cost and number of students attending the park is $22.5x = y
According to the question we have been given that
Total money paid by Mrs. Jameson = $202.50
Total number of the students = 9
Let the amount of one student to visit the amusement park be X
Thus first we have to find the value of X by following equation,
9X = $202.50
Solving for X we get,
X = 202.50/9
X = $22.5
That is amount for one student is = $22.5
Now we will solve the second part
Let the total cost be represented as y
Let the number of students attending the park be represented as x
Then the equation related to total cost and number of students is given as
$22.5x = y
Hence the equation is given above
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Which number doesn't share the same pattern as 12,24,9,3,300,39
The number doesn't share the same pattern 12,24,9,3,300,39 is 39.
A pattern is a series or sequence that generally repeats itself. Color, exertion, shape, number, and other patterns that we see in our diurnal lives are exemplifications of patterns.
They might be finite or horizonless and can be tied to any event or object. In mathematics, a pattern is a sequence of integers that are related to each other according to a specified rule. These rules specify how to cipher or break issues. In a sequence of,,, for illustration, each number increases by 3. So, following the pattern, the final number will be 12 3 = 15.
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what best describes the mutually exclusive in statistics?
The best description of mutually exclusive in statistics is a. At least one and only one event occurs.
What does mutually exclusive mean?When two or more events are said to be mutually exclusive, it means that they cannot happen at the same time. If one event happens, then the other event/s cannot happen.
Another way to say this therefore is that at least one event will happen in a mutually exclusive condition, and only that one event will happen.
Options for this question include:
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PLEASE HELP MEEEE ILL MARK AS BRAINLIEST
For which table would 70 be the missing value, x?
Answer:
Table 3 → 5 (5× 14=70)
Using the Pythagorean Theorem, find the side lengths of the triangle above. Choose all that apply.
Answer:
4 units
5 units
6.4 units
Step-by-step explanation:
we have two catheti, one measures 4 units and one measures 5 units, with Pythagoras we find the hypotenuse
hypotenuse = √(4²+5²)
hypotenuse = √(16 + 25)
hypotenuse = √41
hypotenuse = 6.4 units
X-y/m= x
Solve for y
Answer:
y = mX - mx
Step-by-step explanation:
X - (y/m) = x
Multiply everything by m
(m)X - (y/m)(m) = x(m)
mX - y = mx
-mX -mX
-y = mx - mX
Divide both sides by -1
-y = mx - mX
÷ -1 ÷ -1
y = -mx + mX
or
y = mX - mx
I hope this helps!
I need some help with this! Finish this correctly for Brainliest! It’s about Commutative/Associative Properties!
Given the quadratic function g(x)=
ax^2 - 7x - 15, and given that one root of the quadratic is 5,
which of the following could be a factor of g (x)? More than one can apply.
a. (2x-1) b. (x+3) c. (x-3) d. (2x+3)
we get that option (d) 2 x + 3 is a factor of the quadratic function g (x)= a x² - 7 x - 15.
We are given a quadratic function:
g (x)= a x² - 7 x - 15
We also know that 5 is a root for it.
So, we get that:
a (5)² - 7 (5) - 15 = 0
25 a - 35 - 15 = 0
25 a - 50 = 0
25 a = 50
a = 50 / 25
a = 2
So, the function becomes:
g (x)= 2 x² - 7 x - 15
Now factorizing the function:
2 x² - 7 x - 15
2 x² - 10 x + 3 x - 15
2 x ( x - 5 ) + 3 ( x - 5 )
( 2 x + 3 ) ( x - 5 )
Therefore, we get that option (d) 2 x + 3 is a factor of the quadratic function g (x)= a x² - 7 x - 15.
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1) Six decreased by five times a number is thirty-one.
2) The product of five and a number increased by seven is twenty-seven.
Answer:
[tex]6 - (5 \times x) = 31[/tex][tex]5 \times x + 7 = 27[/tex]URGENT but please only answer if you are xHaleyx OR beinggreat78
this means if you are not one of the two, do NOT answer because I simply don't trust the rest of you to answer correctly since you answer for the points most of the time
Answer:
0.0314
Step-by-step explanation:
[tex]a^{-b}=\frac{1}{a^b}\\3.14\cdot \frac{1}{10^2}\\a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\\frac{1\cdot \:3.14}{10^2}\\1\cdot \:3.14=3.14\\\frac{3.14}{10^2}\\10^2=100\\\frac{3.14}{100}\\\frac{3.14}{100}\\= 0.0314[/tex]
All work and answer is provided in the attached screenshot! :)
An engineering school reports that 55% of its students were male (M), 33% of its students were between the ages of 18 and 20 (A), and that 26% were both male and between the ages of 18 and 20.
What is the probability of a random student being male or between the ages of 18 and 20?
Your answer should be rounded to two decimal places.
The probability of a random student being male or between the ages of 18 and 20 will be 0.07.
How to calculate the probability?From the information, 55% of its students were male (M), 33% of its students were between the ages of 18 and 20 (A), and that 26% were both male and between the ages of 18 and 20.
Therefore, the probability of a random student being male or between the ages of 18 and 20 will be:
= 33% - 26%
= 7%
Therefore, the probability of a random student being male or between the ages of 18 and 20 will be 7%.
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newaye is making a salt solution. the instructions ask for 0.07 kilograms of salt to be added to every liter of water. how much salt should he use if he wants to make a solution with 0.5 liter of water
Answer:
0.035 kg
Step-by-step explanation:
(0.07 kg / 1 litre) x (0.5 litre)
= 0.035 kg
Notice how the units of litres cancel and all you are left with is units of kg which is what we want. Another way of solving this problem is via logic. If 1 litre of water is needed for 0.07 kg salt, then half a litre of water (0.5) would need half of the amount needed by 1 litre water so (0.07/2) = 0.035 kg
Use the slope formula to solve for the slope
Answer:
1/6 pretty sure
Step-by-step explanation:
rise - 1
run - 6
going from (-5, -4) to (1, -3)
The Miller family is taking a road trip. They will drive a total of 1,372 miles. So far they have driven 648 miles. How many miles do they have left to drive?
Answer:
724 miles
Step-by-step explanation:
subtract the values(1372-648)
one number is 4 times a first number. a third number is 100 more thann the first number. if the sum of the three numbers is 562, find the numbers
The numbers are 77 , 177 and 308 .
Numbers are the building blocks in mathematics. It is an arithmetic value that is used to represent a quantity. Real numbers , integers , natural numbers, whole numbers , irrational numbers are are various types of numbers.
Let us consider the first number to be x . Then the second number is 4x+100 , and the third number is 100 more than the first number. Therefore the the sum of the three numbers will be:
x+4x+(x+100)=6x+100
Now the sum of all the numbers is 562.
Therefore we can write a linear equation in x to find the values of x.
∴ 6x+100=562
or, 6x = 562 - 100
or, 6x = 462
or, x = 462 ÷ 6
or, x = 77
Therefore the second number is 4x = 4 × 77 = 308 and the third number is x + 100 = 77 + 100 = 177 .
So the numbers are 77 , 177 and 308 .
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An account into which someone deposits an equal amount of money at equal periods or equal intervals of time is an ________________.
Group of answer choices
Annual compounding
annuity
annual rate
APR(Annual Percentage Rate)
An account into which someone deposits an equal amount of money at equal periods or equal intervals of time is an annuity.
What is Annuity?A predetermined sum of money that you will receive annually for the rest of your life is called an annuity. An annuity is a contract that you have with an insurance provider that calls for regular payments to be made by the insurer to you, either now or in the future.
Certain annuities have payments that are made for a set (limited) amount of time known as the annuity's term. A 30-year mortgage payment is one illustration. With a contingent annuity, payments are made up to a specific occurrence.
As, the deposits have an equal amount with equal intervals.
Hence, An account into which someone deposits an equal amount of money at equal periods or equal intervals of time is an annuity.
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select all numbers in which the place value of the digit 6 is equal to 1/10 of the place value of the digit 6 in the number 760.000
The place value of the digit "6" in the given number 760,000 is Ten thousand's i.e., sixty thousand.
Definition of place value
The numerical value of the digit in the given number is based on its position in the number.
The place values are:
Hundred thousands(Hth) - 100,000
Ten thousands(Tth) - 10,000
Thousands(Th) - 1,000
Hundreds(H) - 100
Tens(T) - 10
Ones(O) - 1
Given number is 760,000
The place values for the given number are:
Hth Tth Th H T O
7 6 0 0 0 0
So, the digit '6' is in the ten thousand's place. So, its place value is "ten thousand" i.e., "sixty thousand".
In math, every digit in more than a few has an area cost. place value can be described as the value represented by a digit in quite a number on the premise of its position within the number.
for instance, the region value of seven in 3,743 is 7 loads or seven-hundred. but, the place value of seven in 7,432 is 7 thousands or 7,000. here, we will see that despite the fact that the digits are identical in both the numbers, it’s region cost adjustments with the exchange in it’s position.
area value Chart is a completely beneficial table format that helps us in finding the place value of each digit primarily based on it’s function in various.
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I think this is the last one I’ll need help on :)
Answer:
The first one and the third one. 1/9 and 3^(-6) x 3^(4)
Step-by-step explanation:
3^3 x 3^(-2) is 3^ 3-2, or 3^1. 3^1 is just 3, and so 3^-2 is the answer. The choices that are equal to 3^-2 are 1/9 and 3^-6 x 3^4
4. What value is needed to complete the square? Show all steps.
x²-2x+_
The value of the square in the mathematical identity is 1.
According to the statement, We have to find that the value of the square.
So, For this purpose, we know that the
An Mathematical identity is an equality relating one mathematical expression A to a different mathematical expression B, such A and B produce the identical value for all values of the variables within a specific range of validity.
From the given information:
The statement is the [tex]x^{2} -2x+.....[/tex]
Then
According to the squaring identity,
[tex](A-B)^2 = A^2 + B^2 -2AB[/tex]
compare it with the statement
[tex](x-1)^{2} = x^{2} -2x+1[/tex]
The value of the square is a 1.
So, The value of the square in the mathematical identity is 1.
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in how many ways can 5 students line up for lunch
Answer:
There are many formations a group of 5 can make. Examples could be STS (Shoulder To Shoulder), single file, and double column with one leader. There are many more formations that could be made but these three would be the most acceptable line formations in a school environment.