Answer:
( x + 4 ) ( x + 1 )
Step-by-step explanation:
x² + 5x + 4
= x² + 1x + 4x + 4
= x ( x + 1 ) + 4 ( x + 1 )
= ( x + 4 ) ( x + 1 )
Hence, factorised.
what expression is equivalent to 1.2y+4.5-3.4y-6.3
Step-by-step explanation:
The answer is -2.2y-1.8
The equivalent expression is -2.2y-1.8
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given expression:
1.2y+4.5-3.4y-6.3
To find the equivalent expression:
Simplifying,
= 1.2y - 3.4y + 4.5 - 6.3
= -2.2y-1.8
The above expression is an equivalent expression.
Therefore, -2.2y-1.8 is the equivalent expression.
To learn more about the equivalent expression;
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A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. to study the impact of adding ingredient p, q, r, s, or t to the recipe, they baked 270 loaves of bread. some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. the freshness of the bread was checked one week later, and the results were used to create the two-way tables below. which tables suggest an association between adding an extra ingredient and the freshness of the bread? select the three correct answers. a 3-column table with 2 rows titled effect of ingredient p on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 11, 4. column 3 is labeled does not stay fresh with entries 39, 16. a 3-column table with 2 rows titled effect of ingredient q on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 9, 4. column 3 is labeled does not stay fresh with entries 41, 16. a 3-column table with 2 rows titled effect of ingredient r on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 16, 4. column 3 is labeled does not stay fresh with entries 34, 16. a 3-column table with 2 rows titled effect of ingredient s on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 4, 4. column 3 is labeled does not stay fresh with entries 46, 16. a 3-column table with 2 rows titled effect of ingredient t on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 34, 4. column 3 is labeled does not stay fresh with entries 16, 16.
Answer:
Tables 3,4 and 5
Step-by-step explanation:
Answer on quizlet.
Answer:
h
Step-by-step explanation:
Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27
Answer:
B) − 2/9
Explanation:
[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]
join both fractions
[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]
simplify by multiplying
[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]
simplify the following
[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]
[tex]\bold{Heya!}[/tex]
→ Answer :-B) [tex]\sf{-\frac{2}{9}[/tex]→ EXPLANATION :[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]
Apply rule : [tex]\sf{a(-b) = -ab}[/tex]
[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]
[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]
Cross - cancel common factor: [tex]\sf{11}[/tex]
[tex]\sf{= -\frac{4}{18}[/tex]
Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]
[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]
Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]
[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]
Cancel common factor: [tex]\sf{2}[/tex]
[tex]\sf{-\frac{2}{9}[/tex]
Hopefully This Helps ! ~
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[tex]\underline{Answer :}[/tex]
Jaceysan ~
What is the equation of a line that crosses the x-axis at 36 and is perpendicular to the line y=-4/9+5
Answer:
Step-by-step explanation:
Given, line equation is
We have to find the line equation which is perpendicular to the given line in slope intercept form.
Now, let us find the slope of the given line.ven line is in slope intercept form,
y = mx + c where m is slope and c is intercept.
So, by comparison, slope of given line is
Now, we know that product of slopes of perpendicular lines = -1
SLope of that perpendicular line And we are also given that, perpendicular line passes x aixs at 36. Which means that intercept of x – axis is 36.
The price of an item yesterday was 105. Today, the price rose to 147 find the percentage increase
Answer:
40%
Step-by-step explanation:
147 - 105 = 42
42/105 = .4
.4 × 100 = 40%
How many degrees is the angle measurement of x?
Answer:
x ≈ 37.13°
Step-by-step explanation:
using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13.4}{22.2}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{13.4}{22.2}[/tex] ) ≈ 37.13° ( to the nearest hundredth )
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
I think area will me 24 sq unit
Explanation:
AC=6
BD=8
1/2 × 8 × 6 = 24
Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled
Answer:
1/2 anwser is B
Step-by-step explanation:
rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?
it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2
The base area of a cylinder is 200.96m2
and the volume is 1205.76 in3
. what is the height of the cylinder?
Answer:
Step-by-step explanation:
Volume of cylinder = base area * height
height of the cylinder = Volume of the cylinder ÷ base area
= 1205.76 ÷ 200.96
= 6 in
Please solve the attached problem with all steps.
Answer:
x = 8
Step-by-step explanation:
Theorem
When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Secant: a straight line that intersects a circle at two points
Tangent: a straight line that touches a circle at only one point
Given:
tangent segment = xsecant segment = 4 + 12 = 16external secant segment = 4⇒ x² = 16 · 4
⇒ x² = 64
⇒ x² = √(64)
⇒ x = ±8
As distance is positive, x = 8
what is the easiest way to find length in volume
Answer:
Step-by-step explanationthe easiest way to find the length in volume is by first knowing it's formular wich is L x Wx H= length x width x height
A store pays $50 for a pair of shoes. The markup is 25%
Answer:
Are you asking for the selling price? If yes the answer should be $50 x (1+25%) = $62.5
Sophie and Marcos are each saving for new bicycles. So far, Sophie has $7 saved and can earn $4 per hour walking dogs. Marcos has $3 saved and can earn $6 per hour at his family's plant nursery. After how many hours of work will Sophie and Marcos have saved the same amount? What will that amount be? Use the system of equations below to complete the graph.
Answer:
2 hours
Step-by-step explanation:
You can express each person's total earning as the formula for a line. (y=mx+b) Use the amount per hour that can be earned as the slope (m) and the amount already earned as the y intercept (b)
Sophie: y=4x+7
Marcos: y=6x+3
Since y is the total amount of money saved and you know that both people need to earn the same amount of money, we know that y is the same in both equations so we can use substitution to substitute one of the equations in for y in the other equation like this:
4x+7=6x+3
From here, solve algebraically
Subtract 3
4x+4=6x
Subtract 5x
4=2x
Divide by 2
x=2
So they will have the same amount of money after 2 hours.
if x and y are real numbers greater than 1, what is the value of the expression log_x 1 + log_y y?
Answers:
A) 1
B) 0
C) 2
[tex]\log_x (1)+\log_y (y)\\\\=\log_x x^0 + 1\\\\=0\cdot \log_x x +1\\\\=0+1\\\\=1[/tex]
The ratio of red to blue marbles in the bag is 5 to 3. If there are 20 less blue marbles than red, how many blue marbles are in the bag?
Answer:
30
Step-by-step explanation:
red : blue = 5:3
since difference between 5&3 is automatically 2....then just add 0 to 3
(24 +2)divide by 2 order operation
Answer:
13
Step-by-step explanation:
(24+2)/2 would be the expression.
PEMDAS so first complete the numbers in the Parantheseis:
(24+2)/2 = 26/2
Since there are no exponents or mulitplication, divide:
26/2 = 13
Hope this helps!
11. If mNJ = "
170", mMK = (5x + 8), and mZMLK = (4x + 3)", find mZMLK.
,
M
o
K
Answer:
∠ MLK = 51°
Step-by-step explanation:
the secant- secant angle MLK is half the difference of the measures of the intercepted arcs , that is
∠ MLK = [tex]\frac{1}{2}[/tex] ( NJ - MK ) ← substitute values
4x + 3 = [tex]\frac{1}{2}[/tex] (170 - (5x + 8) ) ← multiply both sides by 2 to clear the fraction
8x + 6 = 170 - 5x - 8
8x + 6 = 162 - 5x ( add 5x to both sides )
13x + 6 = 162 ( subtract 6 from both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Then
∠ MLK = 4x + 3 = 4(12) + 3 = 48 + 3 = 51°
Can I have help on this?
A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?
Answer:
6
Step-by-step explanation:
10 runners
explanation:
1/4 x 10 = 2 1/2
What rule can be used to find the next term of the sequence? an = an–1 – 79 an = an–1 – 13 an = an–1 13 an = an–1 79
The rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
Here, the considered sequence is 27, 40, 53, 66, 79,...
We see that:
40-27=13
53-40=13
and so on, the difference between each consequtive pair of terms of this sequence is 13.
Thus, due to having common difference in consequtive terms, this is an arithmetic sequence.
For this series, we've got:
Initial term = a = 27Common difference = d = 13Thus, its nth term is given by:
[tex]T_n = a+(n-1)d= 27 +(n-1)13 = 13n + 14[/tex]
Since the options are using the notation [tex]a_n[/tex] instead of [tex]T_n[/tex], so we will use that too. Thus, nth term and (n-1)th terms are:
[tex]a_n = 13n + 14\\a_{n-1} = 13(n-1) + 14 = 13n + 1\\[/tex]
Thus, we can write nth term in the form of (n-1)th term as:
[tex]a_n = 13n + 14 = 13n + 1 + 13 = a_{n-1} + 13\\\\a_n = a_{n-1} + 13[/tex]
Thus, the rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13
Learn more about arithmetic sequence here:
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Answer:
c
Step-by-step explanation:
Need help ASAP Please
Answer:94.5
Step-by-step explanation:First you have to multiply 3.5x4.5 and the multiply that by 2 which gives you 31.5. Then you multiply 9x3.5 and then you also multiply that by 2 which gives you 63 and then you add 31.5 and 63 which would give you 94.5.
What is Arrhenius's definition of an acid?
O a substance that dissociates in water to produce hydroxide ions (OH)
O a substance that dissociates.in water to produce hydrogen ions (H+).
o
any substance that can donate hydrogen ions (H+)
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Arrhenius theory of an acid: This theory was discovered by Sir Svante Arrhenius in 1887. According to this theory acids are hydrogen containing compounds, when dissolves in water it gives (H+) ions.
[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{What \: is \: Arrhenius's \: definition \: of \: an \: acid?}[/tex]
[tex] \implies[/tex] (B) substance that dissociates.in water to produce hydrogen ions (H+).So, option (B) is correct.
[tex] \boxed{ \frak \red{happy \: learning}}[/tex]
Plis help me with the blank spaces !!!! They give me those 4 options as well in the second one
The total points earned depends on the number of correct answers.
Hope this helps!
Don’t mind my answers I got them wrong but can you please help? I’ll award brainliest
Answer:
y=mx+b
Step-by-step explanation:
use that formula
may you please answer this question
Answer:
Step-by-step explanation:
Vertically opposite angles are congruent.
∠A = ∠C
∠A + ∠C = 254
∠A + ∠A = 254
2∠A = 254
∠A = 254/2
∠A = 127
Linear Pair: In two adjacent angles, if the non common arms are opposite rays, then they are called linear and they add up to 180
∠A + ∠B = 180 {linear pair}
127 + ∠B = 180
∠B = 180- 127
∠B = 53°
According to this box plot of test scores, the top 25% of the students scored about what score?
options:
86
100
96
90
96
In this type of box plot, the two end lines are the absolute maximum and minimum values, each edge of the box is the lower and upper 25%, respectively from left to right, and the line in the box is 50%
So the answer here is the right edge of the box, or 96
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Answer:
14 hotdogs
Step-by-step explanation:
Each hotdog is $2.50. Subtract $140 from $175 giving you $25 left to earn. You then take 25 and divide by the unit rate(cost of one hotdog) and you should get 14 more hotdogs need sold to reach $175.
Which number sentence is true?
A. 30.678 > 31.112
B. 81.001 > 80.999
C. 24.510 = 24.5
D. 72.49 < 72.469
Answer:
B
Step-by-step explanation:
31.112 is actually greater than 30.678 because 31 is a greater number than 30. so the statement stated is false.
24.510 is greater than 24.5 because if you add 2 zeros to 24.5, it would be 24.500(adding zeros after decimal point doesnt change the value). 24.500 is less than 24.510. the numbers are not equal.
72.49 is greater than 72.469 because if you add a zero to 72.49, it will be 72.490. 72.490 is greater than 72.469.
Basically only B is true because 81 is greater than 80.
3.4k+(0.63−0.81k)÷0.9=5.7
Part I: Converting the terms into fraction form
Given equation:
3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.7First, let's convert the terms (that are in decimals) into fractions.
3.4k = 34k/100.63 = 63/1000.81k = 81k/1000.9 = 9/105.7 = 57/10Replace the fraction forms in the equation:
3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.734k/10 + (63/100 - 81k/100) ÷ 9/10 = 57/10Part II: Simplifying the division being performed
Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.
34k/10 + (63/100 - 81k/100) × 10/9 = 57/10Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).
34k/10 + [63/100 × 10/9] - [81k/100 × 10/9] = 57/1034k/10 + [7/10] - [9k/10] = 57/1034k/10 + 7/10 - 9k/10 = 57/10Part III: Isolating "k" to determine it's value
Combine like terms as needed:
34k/10 + 7/10 - 9k/10 = 57/10k(34/10 - 9/10) + 7/10 = 57/1025k/10 + 7/10 = 57/10Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.
25k/10 + 7/10 - 7/10 = 57/10 - 7/1025k/10 = 50/10Cancel the denominators (as a/b = c/b ⇔ a = c)
25k/10 = 50/1025k = 50Divide both sides by 25 to isolate "k"
25k/25 = 50/25k = 2If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.
4 feet
5 feet
6 feet
7 feet
Answer:
6 feet
Step-by-step explanation:
took the test and got it right
Answer:
6 feet
Step-by-step explanation:
(c) 6 feet