Final answer:
The missing data values 'a' and 'c' are determined by recognizing the linear pattern in the table, giving an 'a' value of 6 and a 'c' value of 14, which corresponds to answer choice B.
Explanation:
To determine the missing data values for a linear function, we need to identify the pattern in the given data points. We are given the data points (1, 2), (2, 4), and told that the function is linear. The change in the y-values as x increases by 1, is a consistent +2 (from 2 to 4 as x goes from 1 to 2).
To find the value of 'a' when x = 3, we add 2 to the previous y-value of 4 (at x = 2), resulting in an 'a' value of 6. To find the value of 'c' when x = 7, we add 2 repeatedly for each increase in x, which is 4 steps away from x = 3, resulting in a 'c' value of 6 + 2*4 = 14.
The missing data values 'a' and 'c' are 6 and 14, respectively, which corresponds to choice B.
Simplify -8.6 + 2.3 + 1
-5.3
-7.3
-9.9
Answer:
-5.3.
Step-by-step explanation:
-8.6 + 2.3 + 1
= -6.3 + 1
= -5.3.
What is 50% of 38?
How do I do this?
Answer:
19
Step-by-step explanation:
50% = 1/2
therefore 1/2 of 38
= 19
Answer: 19
Step-by-step explanation: We need to write 50% as a decimal by moving the decimal point 2 places to the right to get .50. Next, the word "of" means multiply, so we have (.50)(38) which is 19.
what is the midpoint of the line segment with endpoints(-2,-2) and (4,6)
Answer:
The midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].
Step-by-step explanation:
Given points are [tex](-2,-2)\ and\ (4,6)[/tex]. We need to find the midpoint of the line segment.
The formula of finding midpoints between the point [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is
[tex](\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)[/tex]
W have points [tex](x_1,y_1)=(-2,-2)[/tex]. And [tex](x_2,y_2)=(4,6)[/tex]
Let us plug the value in Equation (1)
[tex](\frac{-2+4}{2} ),(\frac{-2+6}{2})[/tex]
[tex](\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)[/tex]
So, the midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].
find the value of the expression 74.9+5.23-81.4-16
Answer:
To find the value of this expression you need to add and subtract from left to right
74.9+5.23-81.4-16 (add the first two, first)
80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)
-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)
-17.27 (-1.27-16=-17.27)
-17.27
Hope this helps ;)
please tell me this equation y– 4 = 20 in words
Answer: A number decreased by 4 equals 20
explanation: Decreased represents 4 being subtracted from y.
A number represents y
Answer:
Step-by-step explanation:
y decreased by 4 equal 20
.or
4 subtracted from a number equals 20
24.94 is 29% of what number
Final answer:
To find the number that 24.94 represents 29% of, you set up the equation 24.94 = 0.29 × x and solve for x, yielding x = 86.
Explanation:
To find the number that 24.94 is 29% of, we can set up an equation. If 24.94 is 29%, then we are looking for the whole (100%). We represent the whole number with a variable, let's call it x. The equation is as follows:
24.94 = 0.29 × x
To solve for x, we'll divide both sides of the equation by 0.29,
x = 24.94 ÷ 0.29
Now, let's do the math:
x = 86
Therefore, 24.94 is 29% of 86.
Write 2x2 – 16x + 14 = 0 in the form (x - p)2 = q by completing the square.
Answer:B (x-4)^2=9
Step-by-step explanation:
3. From (3x² + x-14) subtract (-x² – 3x – 2).
Answer:
W
Step-by-step explanation:
Tvivyvyvububi
Answer:
4x^2+4x-12
Step-by-step explanation:
(3x^2+x-14)-(-x^2-3x-2)
3x^2+x-14+x^2+3x+2
3x^2+x^2+x+3x-14+2
4x^2+4x-14+2
4x^2+4x-12
Laura, Chau, and Jose sent a total of 152 text messages. Jose sent 4 times as many messages as Laura. Laura sent 8 fewer than Chau. How many messages did they each send?
Answer:
The number if texts sent by Chau = 32
The number of texts sent by Laura = 24
The number of texts sent by Jose = 96
Step-by-step explanation:
The total number of sent texts = 152
Let us assume the number of texts sent by Chau = k
So, the number of texts sent by Laura = 8 fewer than Chau = k - 8
Also, the number of texts sent by Jose = 4 times as many messages as Laura
= 4 x (k-8)
So, now the total number of texts = texts sent by ( Chau + Jose + Laura)
or, 152 = k + (k-8) + 4(k-8)
⇒ k + 5(k-8) = 152
or, k + 5 k - 40 = 152
or, 6 k = 192
or, k = 32
So, the number if texts sent by Chau = k = 32
The number of texts sent by Laura = k - 8 = 24
The number of texts sent by Jose = 4 (24) = 96
A garden table and a bench cost 725 combineThe garden table cost 75 more than the bench what is the cost of the bench
The cost of bench is 325.
Step-by-step explanation:
Given,
Combined cost of table and bench = 725
Let,
x be the cost of garden table
y be the cost of bench
According to given statement;
x+y=725 Eqn 1
x = y+75 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex](y+75)+y=725\\y+75+y=725\\2y=725-75\\2y=650[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{650}{2}\\y=325[/tex]
The cost of bench is 325.
Keywords: linear equation, substitution method
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What is 15% of $67,000?
Answer:
$10,050
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number. First, change the percent to a decimal by dividing it by 100.
15% of $67,000 =
= 15% * $67,000
= 0.15 * $67,000
= $10,050
A company produces three combinations of mixed vegetables that sell in 1-kg packages. Italian style combines 0.4
kg of zucchini, 0.3
kg of broccoli, and 0.3
kg of carrots. French style combines 0.5
kg of broccoli and 0.5
kg of carrots. Oriental style combines 0.2
kg of zucchini, 0.3
kg of broccoli, and 0.5
kg of carrots. The company has a stock of 17 comma 800
kg of zucchini, 28 comma 300
kg of broccoli, and 38 comma 900
kg of carrots. How many packages of each style should it prepare to use up existing supplies?
Answer:
Italian style = 18,000 packages
French style = 14,000 packages
Oriental style = 53,000 packages
Step-by-step explanation:
See the attached figure to represent the question
let the number of packages of Italian style = x
let the number of packages of French style = y
let the number of packages of Oriental style = z
Italian style ⇒ 0.4 kg of zucchini, 0.3 kg of broccoli, and 0.3 kg of carrots.
French style ⇒ 0.5 kg of broccoli and 0.5 kg of carrots.
Oriental style ⇒ 0.2 kg of zucchini, 0.3 kg of broccoli, and 0.5 kg of carrots.
The amount of zucchini ⇒ 17,800 = 0.4x + 0 * y + 0.2z
The amount of broccoli ⇒ 28,300 = 0.3x + 0.5y + 0.3z
The amount of carrots ⇒ 38,900 = 0.3x + 0.5y + 0.5z
Solving the 3 equations together to find x , y and z
Using the calculator:
x = 18,000 ⇒ Italian style packages
y = 14,000 ⇒ French style packages
z = 53,000 ⇒ Oriental style packages
Emma has n containers. She will put
cup of berries into each container.
Which expression represents the total amount of berries, in cups, that Emma will put into the containers?
The total amount of berries, in cups, that will be in Emma's containers is represented by the expression n in mathematics , due to the multiplication principle of counting.
Explanation:The subject of this question is mathematics, specifically, arithmetic and algebra. Emma has n containers and plans to put one cup of berries into each container. To find the total amount of berries, in cups, that Emma will put into the containers, you multiply the number of containers by the number of cups per container. Since Emma is putting 1 cup of berries in each container, the expression that represents the total amount of berries Emma will put into the containers is simply n.
This is due to the Multiplication Principle of Counting, which states that if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m x n ways. Here, the two events are 'number of containers' and 'cups of berries per container', with the 'number of containers' being variable, represented as n and the 'cups of berries per container' being a constant '1'.
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i need the answer to this question (geometry)
Answer:
11.3
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, so ...
x/8.25 = (4+11)/11
x = 8.25·(15/11) = 11.25
x ≈ 11.3 . . . . . rounded to one decimal place
What is often the overall goal of a statistical investigation?
The goal of a statistical investigation is to answer research questions by understanding phenomena through data analysis, which includes planning the study, examining the data with descriptive statistics, and making inferences to answer broader questions.
The overall goal of a statistical investigation is to understand phenomena and answer research questions using data. This involves several key components:
Ultimately, statistical investigations aim to use descriptive statistics and statistical inference to generate insights that can answer a wide range of research questions, especially when sophisticated numerical analysis is needed.
Factor out a negative 1 from each expression. - 4 - (5 + 3)
Answer:
-12
Step-by-step explanation:
-4-(5+3)
-4-(8)
-4-8
-12
-12 is the value of the expression - 4 - (5 + 3).
What is Expression?An expression is combination of variables, numbers and operators.
Given expression is -4-(5+3)
Minus four minus of five plus three.
In the given expression we have positive and negative signs which tells that there is addition and subtraction operations.
-4-(5+3)
Add the numbers in parenthesis
-4-8
Now we get -12
Hence, -12 is the value of the expression - 4 - (5 + 3).
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Consider g(x) = −x^2 + 12x − 32 Part A: Write g(x) in vertex form, identify the vertex, and determine the x-intercepts.
Answer:
(x - 6)² = - (y - 4)
The vertex of the parabola will be (6,4).
The x-intercepts are at (8,0) and (4,0).
Step-by-step explanation:
Given the equation of parabola is g(x) = y = - x² + 12x - 32 .......... (1)
Now, converting the equation to vertex form.
Here, y = - x² + 12x - 32
⇒ y = - (x² - 12x + 36) + 4
⇒ y - 4 = - (x - 6)²
⇒ (x - 6)² = - (y - 4) ........... (2) (Answer)
Now, the vertex of the parabola will be (6,4) and it opens down. (Answer)
Let the x-intercept of the parabola is at (h,0).
Hence, from equation (2) we get,
(h - 6)² = - (0 - 4) = 4
⇒ h - 6 = ± 2
⇒ h = 8 or h = 4
Therefore, the x-intercepts are at (8,0) and (4,0). (Answer)
There are 4 people jogging. There are 5 more people walking than jogging. How many people are walking.
Answer:
Step-by-step explanation:
4 + 5=9
We are certain that 4 people are jogging and it is given that mote 5 people are walking rather than jogging so from these statement we can see that only 5 people are walking.
What do you mean by jogging?Running at a slow and regular pace, especially as a form of exercise, usually runs half an hour before breakfast. Exercise and training the purpose of jogging is to Health benefits of running and jogging helps build strength because it is heavy exercise strengthens muscles. improves cardiovascular fitness. burn a lot of kilojoules.
Jogging is a form of aerobic exercise in which running speed is less than 6 miles per hour. Jogging regularly can help you lose weight, especially if you also change your diet.
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9a-2b = -8
-7a + 3b = 12
250 people went to party at 9pm. 70 people left at 11pm.how many couples remain at the party? ar
Answer:
The answer is that 90 couples remained at the party after 11 pm
Step-by-step explanation:
Number of people who went to the couples only party at 9 pm = 250
Number of people who left the party at 11 pm = 70
How many couples remained at the party?
People that remained at the party = 250 - 70 = 180
Couples that remained at the party = 125 - 35 = 90
The answer is that 90 couples remained at the party after 11 pm
please answer asap.......
Answer:
"-" always means "less" or a "drop"
Therefore the answer is a drop of 8 meters (the first one)
Hope this helps! :]
Simplify the expression (2/9) ^2
exponent of 2
A. 4/81
B. 4/18
C. 4/11
D. 2/9
Answer:
A 4/81
Step-by-step explanation:
(2/9)² is the same as 2/9×2/9, which is 4/81.
Square root of 24 divided by square root of 27
Answer:
= 2/27 square root of 6
Step-by-step explanation:
:)
Answer:
2/27
Step-by-step explanation:
Can anybody answer this question #13 and tell me how they got the answer.... thank you
Answer:
C 6
Step-by-step explanation:
The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.
Here, that means ...
NP/PQ = 2/1
NP = 2·PQ = 2·3
NP = 6
Which value below is included in the solution set for the inequality statement?
-3(x-4) > 6(x - 1)
3
-1
7
2
Option B:
–1 is the value included in the solution set
Solution:
Given inequality is –3(x – 4) > 6(x – 1).
⇒ –3x + 12 > 6x – 6
Add 3x on both sides of the expression.
⇒ –3x + 12 + 3x > 6x – 6 + 3x
⇒ 12 > 9x – 6
Add 6 on both sides of the expression.
⇒ 12 + 6 > 9x – 6 + 6
⇒ 18 > 9x
Divide by 9 on both sides of the expression.
⇒ 2 > x
⇒ x < 2
Therefore the solution set is x < 2.
In the given options 3 and 7 are greater than the solution set.
x < 2, so 2 is also not in the solution set.
–1 is the only value which is in the solution set x < 2.
Hence, –1 is the value included in the solution set.
Convert `[-3,oo)` to inequality notation use the variable x.
Answer:
x≥-3
Step-by-step explanation:
the bracket means the the number is inclusive, so the answer would be
x≥-3
Final answer:
To convert the interval [-3,∞) to inequality notation, we would write x ≥ -3, indicating that x includes -3 and extends to positive infinity without an upper bound.
Explanation:
To convert the interval notation [-3,∞) to inequality notation using the variable x, we consider the meaning of the interval. The square bracket [ indicates that the number -3 is included in the interval, which corresponds to x ≥ -3. The infinity symbol (∞) suggests that there is no upper bound to the values of x, hence the interval does not include any particular largest number, which is why the parenthesis ) is used rather than a square bracket. Therefore, the equivalent inequality notation for the interval [-3,∞) is x ≥ -3.
Solve write the differences 505-167=
Answer:
338 is the difference
Step-by-step explanation:
505-167=338
The difference between 505 and 167 is calculated using standard subtraction techniques, including borrowing, to arrive at a final answer of 338.
Explanation:To solve the subtraction problem 505 - 167, we can use the standard algorithm for subtraction:
Start by writing the numbers vertically with the larger number on top:505- 167Subtract the rightmost digits: 5 - 7. Since 5 is less than 7, we need to borrow from the tens place.After borrowing, we have 15 - 7, which equals 8.Now, move on to the tens place. Remember, we borrowed 1 from here, so it's 0 now, not 1. 0 - 6 can't be done, so we borrow again from the hundreds place. It's now 10 - 6, which equals 4.Finally, in the hundreds place, we have 4 (since we borrowed 1) minus 1, which equals 3.Write down the results to get the final answer: 338.The difference between 505 and 167 is 338.
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters. What is the length of Line segment A C? Round to the nearest tenth. 3.0 in. 9.8 in. 10.5 in. 12.8 in.
Answer:
10.5 in
Step-by-step explanation:
The correct question is
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?
Note: BC is not the hypotenuse of the right triangle ABC
see the attached figure to better understand the problem
In the right triangle ABC of the figure
we know that
[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)
[tex]tan(55^o)=\frac{15}{b}[/tex]
solve for b
[tex]b=\frac{15}{tan(55^o)}[/tex]
[tex]b=10.5\ in[/tex]
Answer:
10.5 in
Step-by-step explanation:
Need help with question number 9. Can’t figure it out.
Answer:
C
Step-by-step explanation:
the answer to C is 7/12
Select factors of x^2-x-56
Answer:
Step-by-step explanation:
x² - x - 56 = x² - 8x + 7x - 7*8
= x*(x - 8) + 7 (x - 8)
= (x - 8) (x + 7)