Using as a product using gcf as a factor sipping distributive property For the numbers 28 and 49, GCF is 77.
Define GCF.The biggest number that both numbers can be divided by to get the two numbers' largest common factor. The smallest number that is a multiple of both numbers is the least common multiple of the two numbers. The largest number that may divide evenly into two or more other numbers is known as the greatest common factor (GCF). This is also sometimes referred to as the highest common factor (HCF) or the greatest common divisor (GCD).
Given,
Factor sipping distributive property,
For the numbers 28 and 49
GCF:
28 + 49
7(4) + 7(7)
7(4+7)
7(11)
77
Using as a product using gcf as a factor sipping distributive property For the numbers 28 and 49, GCF is 77.
To learn more about GCF, visit:
https://brainly.com/question/11444998
#SPJ13
Given m=-1/2 and n= -1/3 which is greater
Answer: n is greater than m
Step-by-step explanation:
if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)
so n is greater (remember its negative so higher numbers are actually lesser in value)
Hope this helped... :)
A pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
Answer:
Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).
------------------------------------
The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.
As for the other transformations:
The second option, (x, y) → (–y –x), is a reflection around the line y = -x.
The third option, of (x, y) → (x, –y), is a reflection across the x-axis.
The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.
Step-by-step explanation:
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
The final solution of the inequality –2(5 – 4x) < 6x – 4 is x < 3.
How to solve inequality?Inequalities are expressions that have the <, >, ≤ and ≥ signs.
Therefore, let's solve the given inequality as follows:
–2(5 – 4x) < 6x – 4
open the brackets on the left side
–2(5 – 4x) < 6x – 4
-10 + 8x < 6x - 4
add 10 to both sides of the inequality
-10 + 8x < 6x - 4
-10 + 10 + 8x < 6x - 4 + 10
8x < 6x + 6
subtract 6x from both sides of the inequality
8x < 6x + 6
8x - 6x < 6x - 6x + 6
2x < 6
divide both sides of the inequality by 2
2x < 6
2x / 2 < 6 / 2
x < 3
learn more on inequality here: https://brainly.com/question/2038359
#SPJ1
Describe in words where the square root of 50 minus 10 would be plotted on a number line.
Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7
The required value lies Between 6 and 7, but closer to 6. Option C is correct.
Given that,
The square root of 50 minus 10 would be plotted on a number line.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.
Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.
Learn more about number line here:
brainly.com/question/17683084
#SPJ1
Please help it's due to tomorrow
Answer:
Account A is incorrect the interest that you would earn is $8.60, not $860.00
Step-by-step explanation:
33 is 15 less than k
Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5, but y = 9. B) If x = 5, then 2x = 10. C) x = 5, and 2x ≠ 8. D) x = 5 if and only if y = 9.
The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.
What is equivalent value?An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.
From the question, the expression P--> Q means that P = Q.
The statement that shows that a value is equivalent to the other;
x = 5, then 2x = 10
That is, X = 5 can also be written as follows;
2x = 10.
This is because, when 2x = 10 is simplified, X = 10/2 =5
Therefore, P =Q because both shears the same value and can be said to be equivalents.
Learn more about equivalence here:
https://brainly.com/question/27916209
#SPJ1
Find the value of x.
36
x+3
x=?
Answer:
x = 15
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side , then
x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )
x = 15
A margin of error tells us:
The margin of error tells you how many percentage points your results differ from the true population value.
What is margin of error?The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.
The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.
Learn more about margin of error on:
https://brainly.com/question/10218601
#SPJ1
Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹
Answer: The answer is D bc i did the test before hope you have a great day:]
Step-by-step explanation:
8
x
5
−
6
x
4
+
12
x
3
Anthony wants to start making periodic investments in a retirement account. He will make a yearly contribution of $3,000 at the beginning of each year. The account will pay 7.2% interest, compounded monthly. How much will his account be worth after 35 years?
After 35 years, Anthony's account is going to be worth $34193.12
How to solve for the compound interestThe formula for the compound interest is given as
[tex]A = P(1 + r)^t[/tex]
Where we have the principal = 3000
the rate of interest = 7.2%
The period of time = 35 years
We have to input these values in the formula above so that we would have
A = 3000 ( 1 + 0.072)³⁵
A = 3000 x 11.398
= $34193.12
Hence we would have that after the period of 35 years, the account would be worth $34193.12
Read more on compound interest here: https://brainly.com/question/24924853
#SPJ1
f(x)=x² +6
Find an equation for the tangent line to the graph of f(x) = x² +6 at (5,31).
y=
Answer:
y = x^2 + 6 given equation
y = m x + b equation of straight line required
dy/dx = 2 x tangent to given curve
dy/dx = slope = 2 * 5 = 10
Thus our line must be of the form
y = 10 x + b
31 = 10 * 5 + b at the point required
b = 31 - 50 = -19
Then our final equation becomes
y = 10 x - 19
Neeeedddd Helpp Pls!!! I'll give brainliest to the person with the correct answer!
Show work please.
M∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?
Finding slope for (-1,1) and (5,4)
Answer:
Slope = 0.75
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
4-1/5-1=3/4=0.75
What is the largest multiple of 30 which is less than 520?
The largest multiple of 30 that is less than the number, 520, can be found to be 510.
How to find the multiple?To find the largest multiple that 30 has, which is also less than 520, first find the number of times that 30 can go into 520:
= 520 / 30
= 17.333
Then use this number to find the largest multiple below 520 by rounding 17.33 downwards to 17.
The multiple of 30 that is the largest and below 520 is then:
= 30 x Rounded down result of division of 520
= 30 x 17
= 510
Find out more on the largest multiple at https://brainly.com/question/13712343
#SPJ1
NO LINKS!! Please help me with these graphs Part 3
Answer:
[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]
b. y = -6
c. Minimum point at (1, -7).
d. Domain: (-∞, ∞)
e. Range: [-7, ∞)
f. See attachment.
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=x^2-2x-6[/tex]
As per the question, use a graphing calculator to graph the given function.
Part aThe x-intercept(s) are the points at which the curve crosses the x-axis.
x-intercepts: [tex]x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]The y-intercept is the point at which the curve crosses the y-axis.
y-intercept: y = -6Part cFrom inspection of the graph:
Minimum point at (1, -7).Part dThe domain of a function is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Domain: (-∞, ∞)Part eThe range of a function is the set of all possible output values (y-values).
As the function has a minimum point at y = -7, the range is restricted.
Range: [-7, ∞) Part fGraph label the axes using a scale of 1 (see attachment).
Plot the minimum point (1, -7).Write a sentence for 2(3+5n)=an
The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
Which sentence represents the algebraic expression?It follows from the task content that the sentence which represents the equation given be determined.
First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.
Also, the expression "an" can be interpreted as the product of n and another number a.
Therefore, the whole equation; 2(3+5n)=an can be interpreted as;
"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
Read more on algebraic expressions;
https://brainly.com/question/28345080
#SPJ1
After a 31% mark up, you purchase a new television for $524. What was the original price of the television?
Answer:
162.4$
Step-by-step explanation:
mark me on brainliest please follow me to
Write the equation of a parabola with the focus at (3, 0) and the directrix at x = –3.
x^2 = –3y
y^2 = –3x
x^2 = 12y
y^2 = 12x
The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)
How to derive the equation of the parabola
In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:
4 · p · (x - h) = (y - k)²
Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.
First, determine the coordinates of the vertex:
(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)
(h, k) = (0, 0)
Second, calculate the distance from the vertex to the focus:
p = 3 - 0
p = 3
Third, write the vertex form of the parabola:
y² = 12 · x
To learn more on parabolas: https://brainly.com/question/21685473
#SPJ1
Given that (x - 2) is a factor of x³ + x² - 5ax + 2a², 'a' can take the value of 2 or which other number?
well now, let's recall the remainder theorem, check your textbook since we know you're Da Bomb and love to check that theorem.
well, we know a factor is (x-2) for the polynomial f(x), that means that f(2) = 0, so let's use that
[tex]f(x)=x^3+x^2-5ax+2a^2\hspace{5em}\stackrel{\textit{a factor of f(x)}}{(x-2)}\qquad thus\qquad f(2)=0 \\\\\\ 0=(2)^3+(2)^2-5a(2)+2a^2\implies 0=8+4-10a+2a^2 \\\\\\ 0=2a^2-10a+12\implies 0=2(a^2-5a+6) \\\\\\ 0=a^2-5a+6\implies 0=(a-2)(a-3)\implies a= \begin{cases} 2\\ 3 \end{cases}[/tex]
differentiate y=in(3-4cosx)
For given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
In this question, we have been given an equation y = ln(3 - 4 cos(x))
We need to differentiate y = ln(3-4cosx)
dy/dx
= d/dx(ln(3 - 4 cos(x)))
= 1/(3 - 4 cos(x)) * d/dx(3 - 4cos(x)) .......(by Chain rule)
= 1/(3 - 4 cos(x)) * [4 sin(x)]
= 4sin(x) / (3 - 4cos(x))
Therefore, for given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
Learn more about differentiation here:
https://brainly.com/question/2288422
#SPJ1
17. Copy each statement. Insert +, -, x, or ÷ symbols to make each statement
true.
a. 17 ? 2? 3 ? 8 = 3
b. 33 ? 3? 2 ? 5 = 1
Answer:
a. 17 - 2 × 3 - 8 = 3
b. 33 ÷ 3 - 2 × 5 = 1
Step-by-step explanation:
a. 17 - 2 × 3 - 8 = 3
b. 33 ÷ 3 - 2 × 5 = 1
Fewer than %97 of adults have a cell phone. In a reputable poll of 1160 adults, %88
said that they have a cell phone. Find the value of the test statistic
The value of the test statistic of the hypotheses is; -17.969
How to find the test statistic?
The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.
We are given;
Sample size; n = 1160
Sample proportion; p^ = 88% = 0.88
Population proportion; p = 97% = 0.97
The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97
The null hypothesis is expressed as;
H₀: p = 0.97
The alternative hypothesis is expressed as;
Hₐ: p < 0.97
The value of the test-statistic is gotten from the formula;
z = (p^ - p)/(√(p(1 - p)/n))
z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))
z = -17.969
Read more about Test statistic at; https://brainly.com/question/4621112
#SPJ1
a) 50 students in a hostel had provisions for 60 days. (i) How long would the provisions last for 1 student? (ii) How long would the provisions last for 40 students?
Answer:0.8
Step-by-step explanation:
0.8 can be used for 1 student and 40. :)
The values are;
i, For 1 student, it would take = 1 1/5 days
ii. For 40 students, 48 days
How to determine the daysFirst, we need to know that proportion is an equation made equal to another.
From the information given, we have that;
50 students in a hostel had provisions for 60 days.
This is represented as;
50 students = 60 days
Then, we get that;
i, If 50 students = 60 days
1 students = x days
cross multiply the values
x = 60/50
x = 1 1/5 days
ii. If 50 students = 60 days
40 students = x days
x = 60(40)/50
divide the values
x = 48 days
Learn about proportion at: https://brainly.com/question/1781657
#SPJ2
Can someone awnser all three questions please.
Answer:
Step-by-step explanation:
87
99
128
one number is 10 more than another. their product is -25
Answer: resource - trust me bro
Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20
The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height
Answer:
150% = 132 cm, 25%= 22 cm, 100%= 88 cm
Given:
Height of Odalis = 132 cm
This height is 150%
Divided into 6 parts.
To find: Different percentages of Dallas's Height
Solution:
Dalia's Height = Odalis height * (100/150)
= 132 cm * (2/3)
= 88 cm.
150% of Dallas's Height is 132 cm.
25% of Dalia's Height = 1/4 * 88 = 22 cm
100% of Dalia's Height = 88 cm.
This can also be taken by parts.
6 parts = 150%
1 part = 150/6 = 25%
And 6 parts = 132 cm,
so, 1 part = 132/6 = 22cm.
so , 25% = 1 part= 22cm.
100% = 4 parts = 22*4 = 88 cm.
150% = 6 parts = 22*6 = 132 cm.
Hence, 150% = 132 cm
25%= 22 cm
100%= 88 cm
Step-by-step explanation:
Answer:The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height
Step-by-step explanation: Just look at the awnser
Write an absolute value equation which means t is 7 units
from zero.
2(x+5)=20 what does x===???????????????????/
Answer:
x = 5
Step-by-step explanation:
2(x+5) =20 Distribute the 2
2(x) + 2(5) = 20
2x + 10 = 20 Subtract 10 from both sides of the equation
2x = 10 Divide both sides by 2
x = 5
Answer:
5
Step-by-step explanation:
2(x + 5) = 20 Divide both sides by 2
x + 5 = 10
x = 10 - 5
x = 5
in 2017, a journal reported on trends in sugar-sweetened beverage (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a 24-hour period. The study was done in 2005 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the accompanying table
The 95% confidence interval for the distribution of the difference of proportions, using the z-distribution, is given as follows:
(0.11, 0.146).
How to find the confidence interval for the difference of proportions?The first step is finding the proportion and standard error for each sample, as follows:
2005: [tex]n = 3486 + 2248 = 5734, p_1 = \frac{3486}{5734} = 0.608, s_1 = \sqrt{\frac{0.608(0.392)}{5734}} = 0.0064[/tex]2014: [tex]n = 2754 + 2980 = 5734, p_2 = \frac{2754}{5734} = 0.48, s_2 = \sqrt{\frac{0.48(0.52)}{5734}} = 0.0066[/tex]For the distribution of differences, the mean and the standard error are given as follows:
p = 0.608 - 0.48 = 0.128.s = sqrt(0.0064² + 0.0066²) = 0.0092.The z-distribution is used as we are working with proportions, hence the bounds of the interval are given as follows:
p ± zs.
The critical value for a 95% confidence interval with the z-distribution is of z = 1.96.
Hence the lower bound of the interval is:
0.128 - 1.96 x 0.0092 = 0.11.
The upper bound of the interval is:
0.128 + 1.96 x 0.0092 = 0.146.
What is the missing information?
The information regarding each sample is given by the image at the end of the answer, and the problem asks for the 95% confidence interval for the differences.
More can be learned about the z-distribution at https://brainly.com/question/17097944
#SPJ1
