Use a table to find (5g + 3)(g + 8).
Answers
Answer:
5g(g + 8) + 3(g + 8)
5g² + 40g + 3g + 24
5g² + 43g +24
Related Questions
The box plot represents a data set
What is the range of the middle 50% of the data?
2
3
5
7
9 10 11 12 13 14 15 16 17 18 19 20 21
8
O
12
O 17
6
Answers
Answer: Im gonna say 12
Step-by-step explanation:
Answer: the answer is 6
Step-by-step explanation: I took the quiz
Which of the four is it?
Answers
Answer:
option 1 i believe
Step-by-step explanation:
just worked it out
i hope this is right and helps <3
Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places
Answers
= 173.903t
Step-by-step Explanation:
The given equation is: f(t) = 227e^(b*t)
To convert it to the form f(t) = ab, we need to write it in the form of f(t) = a * e^(k*t), where a and k are constants.
Let's start by taking the natural logarithm (ln) of both sides:
ln(f(t)) = ln(227e^(b*t))
Using the properties of logarithms, we can simplify this to:
ln(f(t)) = ln(227) + ln(e^(b*t))
ln(f(t)) = ln(227) + b*t
Now, let's define a new constant, k = b, and rewrite the equation in terms of a and k:
ln(f(t)) = ln(a) + k*t
where a = 227 and k = -0.09
Taking the exponential of both sides, we get:
f(t) = e^(ln(a) + k*t)
f(t) = e^(ln(a)) * e^(k*t)
f(t) = a * e^(k*t)
Substituting the values of a and k, we get:
f(t) = 227 * e^(-0.09*t)
Therefore, the equation f(t) = ab is:
f(t) = 227e^(-0.09t) ≈ 173.903t (rounded to three decimal places)
perpendicular bisector of the line segment whose endpoints are 7,4) and (−9,−4).
Answers
Answer:
y=-2x-2
Step-by-step explanation:
If the endpoints of the line segment are (7,4) and (-9,-4), that means that the slope will be:
\(\frac{-4-4}{-9-7}\) = \(\frac{-8}{-16}\)=\(\frac{1}{2}\). For the perpendicular bisector to be perpendicular to the line, it must have a perpendicular slope, which will be the negative reciprocal of \(\frac{1}{2}\), which is -\(2\). The perpendicular bisector must also go through the midpoint of the segment, which is (-1, 0) because -1 is the average of 7 and -9 and 0 is the average of 4 and -4.
Now we find the equation!
y=mx+b. Plug in -\(2\) as the "m", or slope:
y=-\(2\)x+b
Now, plug in the point (-1, 0):
0=-\(2\)*-1+b
0=\(2\)+b
b=-\(2\)
So, we have m=-\(2\) and b=-\(2\) and we can form our equation!
y=-\(2\)x-\(2\)
Hope this helps!! :D
The management team of an amusement park plans new attractions based on the ages of visitors to the park. A survey collects the ages of visitors to the park on two
randomly selected days. The box-and-whisker plots represent the data collected from the survey.
Visitor Ages
Day 2
Day 1
10 14 18 22 26 30 34 38 42 46 50
Age (in years)
Which statement is true?
O Half of the visitors on Day 1 are between 12 and 28 years old, while half of the visitors on Day 2 are between 16 and 20 years old.
Half of the visitors on Day 1 are between 12 and 22 years old, while half of the visitors on Day 2 are between 16 and 24 years old.
O Half of the visitors on Day 1 are between 22 and 28 years old, while half of the visitors on Day 2 are between 20 and 24 years old.
Half of the visitors on Day 1 are between 22 and 32 years old, while half of the visitors on Day 2 are between 20 and 29 years old.
Answers
Because is the most reasonable
Answer:
it is 2
Step-by-step explanation:
How to work out the mean height of 40 students with a range of different heights
Answers
Step-by-step explanation:
The 'mean' is the 'average'
add all of the heights together .....thien divide by the NUMBER of heights that were used.
What is the sum of the series?
5
Σ3i
i=1
Answers
Σ
6
1
(
3
i
−
1
)
-1 is repeated 6 times
Σ
6
1
(
3
i
)
−
6
=
3
(
1
+
2
+
3
+
4
+
5
+
6
)
−
6
=
3
(
21
)
−
6
=
63
−
6
=
57
Step-by-step explanation:
Please help me answer the question from the photo
Answers
Answer:
A
Step-by-step explanation:
as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
Write a word problem that could be represented with 2 divided by 6 =2/6
Answers
Answer:
0.33=0.33
Step-by-step explanation:
it is answer 0.33=0.33
b. 3 3/4 ft=________ in convert it! its urgent!
Answers
Answer:
45 inches
Step-by-step explanation:
Answer: 45 in
Step-by-step explanation:
1 ft = 12 in
3 ft = 12 * 3 = 36 in
3/4 ft = 9 in
36 + 9 = 45 in
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
pls help me with this mathematics and I will mark you as brainliest pls asaap pls
Answers
Answer: answer is 60 a and 60 b all angles are equal
Step-by-step explanation:
tanx(1+cos2x)=sin2x prove the identity
Answers
Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).
What is the prove of the given identity?To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.
Starting with the left-hand side (LHS):
tan(x)(1 + cos(2x))
We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:
LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))
Next, we can simplify the expression by expanding and combining like terms:
LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)
Simplifying further:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
Now, let's work on the right-hand side (RHS):
sin(2x)
Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).
Now, let's compare the LHS and RHS expressions:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
RHS = 2sin(x)cos(x)
To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:
LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)
Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:
LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)
= [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)
= 2sin(x) - 2sin³(x) / cos(x)
Now, using the identity 2sin(x) = sin(2x), we can simplify further:
LHS = sin(2x) - 2sin³(x) / cos(x)
Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.
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a game is played with a circular spinner that contains 7 different colors. the design of the spinner is the order in which the colors are arranged. how many ways can this spinner be designed
Answers
Answer:
This spinner can be designed in 5040 ways.
Step-by-step explanation:
Number of possible arrangements:
The number of possible arrangements of n elements is given by:
\(A_{n} = n!\)
In this question:
7 colors, so:
\(A_{7} = 7! = 5040\)
This spinner can be designed in 5040 ways.
Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
Answers
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
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Will give brainliest!!
Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 . 2)
What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression?
Answers
A = P + PRT
where A is amount (unknown), P is principal ($900), R is rate of interest (1.5%).
Which in this case, Vince did follow the correct formula, but what he did wrong, it that he incorrectly changed the rate to a decimal. Instead, 1.5% should be 0.015 in decimal form.
So, the correct formula should be
A = 900 + 900(0.015x2)
A = 900 + 27
A = 927
So, the correct amount Vince should pay is $927.
The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.
Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6
How many miles did she travel each hour?
A - 23 miles per hour
B - 35 miles per hour
C - 42 miles per hour
D - 53 miles per hour
Help please!! (Leave comment, I ran out of daily ads.)
Answers
The reason why the answer is B is because, if we go based on the chart, we are shown that Merrida drove 140 miles in 4 hours. However the question is asking us how many miles she drove in one hour, so what we have to do if actually turn 140 miles and 4 hours into a fraction, which would be 140 miles/4 hours. After doing this, we have to divide the denominator by 4, since 4 divided by 4 is one hour. Whatever we do to the bottom we have to do it to the top, so we have to do 140 divided by 4, which would give us 35 miles/1 hour.
Hopefully this helped.
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
Answers
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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Fill in the missing statements and reasons for the proof. Given ∠2 ≅ ∠3 proof ∠1 ≅ ∠4
Answers
The proof is given as follows:
∠1 ≅ ∠2 - Vertical Angles are ≅∠2 ≅ 3 - Given∠3 ≅4 - Vertical Angles are ≅Thus, ∠1 ≅ 4 Transitive properties.What are transitive properties?The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".
The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.
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(5/12 - 1/4) ÷ (1/3 + 1/16)
Answers
Answer:
8/9 = 0.421052632
Step-by-step explanation:
(5/12 - 1/4) / (1/3+1/16)
Least common multiple of 12 and 4 is 12. Convert 5/12 and 1/4 o fractions with denominator 12.
5/12 - 3/12 / 1/3+1/16
Since 5/12 and 3/12 have the same denominator, subtract them by subtracting their numerators.
5-3/12 / 1/3+1/16
Subtract 3 from 5 to get 2.
2/12 / 1/3+1/16
Reduce the fraction 2/12 to lowest terms by extracting and canceling out 2.
1/6 / 1/3 + 1/16
Least common multiple of 3 and 16 is 48. Convert 1/3 and 1/16 to fractions with denominator 48.
1/6 / 16/48 = 3/48
Since 16/48 and 3/48 have the same denominator, add them by adding their numerators.
1/6 / 16+3/48
Add 16 and 3 to get 19.
1/6 / 19/48
Divide 1/6 by 19/48 by multiplying 1/6 by the reciprocal of 19/48
1/6 x (48/19)
Multiply 1/6 times 48/19 by multiplying numerator times numerator and denominator times denominator.
1 x 48/6 x 19
Do the multiplications in the fraction 1 x 48/6 x 19
48/114
Reduce the fraction 48/114 to lowest terms by extracting and canceling out 6.
8/19
Which kind of line ( solid or dashed) is used for < or > ?
I think it has to do with inequalities but not sure
QUESTION #2 unless you know how to a different one
Answers
Answer:
dashed lines are used for both < and >, solid lines are used for >= or <=
Step-by-step explanation:
The volume of the figure 12in 12in 6in 10in 8in 18in
Answers
Answer:
2304 cubic inches
Step-by-step explanation:
Volume of the green is (12)(12)(6)=864
Volume of the blue = (18)(8)(10)=1440
So the total volume is 864 + 1440 = 2304 cubic inches
What is the equation in slope-intercept form of the
line that passes through the points (-4,2) and
(12, 6)?
Answers
Please help and give brainliest answer
Answers
(a^4+5a^2+4)(7a^2)
The answer is:
7a^6+35a^4+28a^2
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
What precisely is a triangle?A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.
Regarding the given diagram, the following claims are always true:
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.
m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
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Select the correct answer.
Answers
Answer:it might be A
At Beast Island Pizza, every pizza comes with cheese and tomato sauce. Beast Island Pizza offers four toppings: Pepperoni, sausage, mushrooms, and onions. Customers can add any number of toppings to a pizza, but Beast Island Pizza does not let customers double up on toppings or add extra cheese to a pizza.
In how many different ways could a customer order a pizza?
Answers
Answer:
16 different combos
Step-by-step explanation:
0 toppings = 1
1 topping = 4 ways
2 toppings = 4 c 2 = 6 ways
3 topping = 4 c 3 = 4 ways
4 toppings = 1 way
The total number of ways a customer can order a pizza is given by combination and the value of C = 16 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways a customer can order a pizza be C
Now , the number of toppings = { Pepperoni, sausage, mushrooms, and onions }
The number of toppings = 4
So , the number of ways is given by combination , where
ⁿCₓ = n! / ( ( n - x )! x! )
Substitute the value of x = 0 , 1 , 2 , 3 , 4
C = ⁴C₀ + ⁴C₁ + ⁴C₂ + ⁴C₃ + ⁴C₄
On simplifying the equation , we get
C = 1 + 4 + 6 + 4 + 1
C = 16 ways
Therefore , the number of ways is 16 ways
Hence , the value of the combination is C = 16 ways
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Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Answers
-3≤-1, so we must use the 7/2+2x function.
Insert x into the function that has a true domain statement:
f(-3)=7/2+2(-3)
Evaluate:
f(-3)=7/2-6
Obtain a common denominator to subtract fractions:
f(-3)=7/2-(6•2/1•2)
Remember, -6 is equivalent to -6/1, so we multiply the numerator and denominator by 2 to get a common denominator.
Simplify:
f(-3)=7/2-12/2
Subtract the numerators only; denominators stay as 2:
f(-3)=(7-12)/2
Answer: f(-3)=-5/2
—————————————————————
f(-1)
-1≤-1, so we must use the 7/2+2x function again. We must always check x in all domain piecewise cases.
Let’s evaluate f(-1):
f(-1)=7/2+2(-1)
f(-1)=7/2-2
Obtain a common denominator; -2=-2/1:
f(-1)=7/2-(2•2/1•2)
f(-1)=7/2-4/2
f(-1)=(7-4)/2
Answer: f(-1)=3/2
—————————————————————
f(3)
Let’s check all domain cases. We see the only true statement is: 3≥3, so we must use the 1/4x function.
f(3)=1/4(3)
Answer: f(3)=3/4
Hope this helps! Please give Brainliest
if g(x) = f(x) + k, what is the value of k ?
Answers
Let's solve algebraically
\(\\ \tt\hookrightarrow g(x)=f(x)+k\)
Take f(x) to left\(\\ \tt\hookrightarrow g(x)-f(x)=k\)
\(\\ \tt\hookrightarrow k=g(x)-f(x)\)