ANSWER
[tex]q = - 7p[/tex]
EXPLANATION
The constant difference of p values is
4-2=2
The constant difference of the 'q' values is
-28--14=-14
The function is of the form:
[tex]q = m(p - p_1) + q_1[/tex]
where
[tex]m = \frac{change \: in \:q }{change \: in \: p} [/tex]
[tex]m = \frac{ - 14}{2} = - 7[/tex]
We plug in the values to get;
[tex]q = - 7(p - 2) + - 14[/tex]
Expand:
[tex]q = - 7p + 14+ - 14[/tex]
Simplify:
[tex]q = - 7p[/tex]
A baker made a birthday cake in the shape of a rectangular pyramid she decorated the lateral faces of the cake with blue and purple icing how many faces of the pyramid fid she decorate
Answer:
She decorated 4 faces.
Explanation:
A rectangular pyramid has 5 faces in total. There are 4 lateral faces and a base. If the baker only decorated the lateral faces, then she decorated 4 faces.
Rectangular Pyramid:
Identify the denominator in the following radical .
There is no exercise. I cannot answer it without an exercise.
Can I get help on numbers 13,18,15,19,16, and 20 please
Answer:
13 is 135
14 is 293.3
15 is 14208
16 is 400
17 is 125 percent of 44
18 is 137.5 percent of 56
19 is 25 percent
20 is 2 percent
Step-by-step explanation:
The PTA is holding a raffle. The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.
Answer: -$3.00
Step-by-step explanation:(1/100)(200-5)-(99/100)5= -$3.00/ticket
I really hope this helps. So sorry if it doesn't
Answer:
Expected value of the purchase of a ticket would be $3.00.
Step-by-step explanation:
The PTA is holding a raffle. Each raffle ticket costs $5.00.
The prize is a camera worth $200.
One hundred tickets are sold = 100 × 5 = $500.00
winner is drawn and given the prize of worth $200.
$500 - $200 = $300
So the expected value of the purchased ticket = [tex]\frac{300}{100}[/tex] = $3.00
Expected value of the purchase of a ticket would be $3.00.
The key idea of the transformation called a reflection is the rotating of a plane about a fixed point.
Answer:
FALSE!
Step-by-step explanation:
a refelction is just that! a refelction of the image across the x or y axis.
Beth wants to make an enlargement of a photograph she has and give it as a gift to her grandma. The picture Beth has measures 4 inches by 6 inches. Beth's grandma has a frame with a side of 10 (See below)
When Beth goes to the photoshop, the technician asks Beth for a scale factor for the enlargement. What number does Beth need to tell him for the right size?
Answer:
The second side would be 15 inches.
Step-by-step explanation:
In order to determine the other side, create a proportion. On the left side, use the original dimensions. On the right side, use the new dimensions with x as the unknown.
4/6 = 10/x
Now cross multiply to solve.
10*6 = 4*x
60 = 4x
15 = x
8bcd over 40d, what is the answer
Answer:
bc/5
Step-by-step explanation:
8bcd
-------------
40d
Divide this into pieces
8 b c d
----- * ------ * ----- * -------
40 1 1 d
Cancel like terms
1 b c 1
----- * ------ * ----- * -------
5 1 1 1
This leaves us
bc/5
Answer: [tex]\frac{bc}{5}[/tex]
Step-by-step explanation:
You know that the expression is:
[tex]\frac{8bcd}{40d}[/tex]
You need to remember that:
[tex]\frac{a}{a}=1[/tex]
Then, knowing this, you can simplify the expression:
[tex]=\frac{8bc(1)}{40}[/tex]
[tex]=\frac{8bc}{40}[/tex]
Now, you need to reduce [tex]\frac{8}{40}[/tex]:
[tex]\frac{8}{40}=\frac{4}{20}=\frac{2}{10}=\frac{1}{5}[/tex]
Finally, rewritting the expression, you get this result:
[tex]=\frac{1bc}{5}[/tex]
[tex]=\frac{bc}{5}[/tex]
The value of log a(30a)^3
Answer:
8.6
Step-by-step explanation:
Determine the type of boundary line and shading for the graph of the inequality 3x + y greater than or equal to 10.
answer choices
Dashed line with shading on the side that includes the origin
Solid line with shading on the side that does not include the origin
Dashed line with shading on the side that does not include the origin
Solid line with shading on the side that includes the origin
Answer: second option
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Rewrite the expression as:
[tex]3x+y=10[/tex]
Solve for "y":
[tex]y=-3x+10[/tex]
You can identify that:
[tex]m=-3\\b=10[/tex]
Therefore, the line intersects the y-axis at the point (0,10)
For the graphs of inequalities with [tex]\geq\ and\ \leq[/tex] the line must be solid.
The inequality given is [tex]3x+y\geq 10[/tex] and it can be written as [tex]y\geq -3x+10[/tex]
Then, the shaded region must be above the solid line. Therefore it does not include the origin (Observe the graph attached).
Answer:
i agree with the second option
Step-by-step explanation:
Jesse bought 10 more pencils than erasers. A pencil costs $0.15 and an eraser costs $0.22. He paid a total of $4.46. How many erasers did Jesse buy?
“Jesse bought 10 more pencils than erasers” means P = 10 + E
“A pencil costs $0.15” means that $0.15*P was spent on pencils
“an eraser costs $.22” means that $0.22*E was spent on erasers
“He paid a total of $4.46” means that $0.15*P + $0.22*E = $4.46
15*(10+E) + 22*E = 446
150 + 37E = 446
37E = 296
E = 8 Jesse bought 8 erasers
Jesse bought 8 erasers. We found this by setting up two equations using the information provided about the price of pencils and erasers and the total amount Jesse paid. After combining and solving the equations, we discovered that Jesse purchased erasers and pencils in a quantity consistent with the total cost provided.
Explanation:To determine how many erasers Jesse bought, we need to set up a system of equations based on the given information:
Let e be the number of erasers Jesse bought. Then he bought e + 10 pencils.A pencil costs $0.15 and an eraser costs $0.22.The total amount paid for pencils and erasers is $4.46.We can express this as two equations:
0.15(e + 10) + 0.22e = 4.46 (Total cost equation)e + 10 (Number of pencils bought)Solving for e (number of erasers):
0.15e + 1.5 + 0.22e = 4.46(0.15 + 0.22)e = 4.46 - 1.50.37e = 2.96e = 2.96 / 0.37e = 8Jesse bought 8 erasers.
What is the area of a circle with a radius of 7 cm? (Use 3.14
and round to the nearest tenth.)
A = πr²
A = π7²
A = 49π
A = 49.3,14
A = 153,86
Rounding to the nearest tenth
A = 153,9 cm²
Answer:
A = 153,9 cm²
Step-by-step explanation:
For the expression 6 − y + 3, determine the coefficient for the variable term. (2 points) −1 0 3 6
ok well the simplified equation would be -y+9 so the coefficient front the variable term would be -1 because there is an implied 1 in front of the variable but it is negative because of the negative sign.
Answer:
-1
Step-by-step explanation:
The only variable term in 6 − y + 3 is y, and the coeff. of y is -1 (first possible answer).
Oml plz help!
The sixth grade band students are selling magazines to raise money for new instruments. As a reward for selling, the students earn points to spend on prizes. Each student gets 25 points to start with, and then they earn an additional 5 points for each magazine they sell. One student sold enough magazines to earn 100 points. Use your expression from the previous question to determine how many points the student will have left after spending 64 points on prizes.
Answer:
the students must have sold 15 magazines
he will have 36 left
Step-by-step explanation:
Answere and How to do
Answer:
-25
Step-by-step explanation:
if you are multiplying x by -2/5 you have to divide each side by it to get
x = 10 ÷ -2/5
and if you change it to (10/1)/(-2/5)
=(10/1) • -5/2
and whene you multiply them you get -50/2
which is -25/1 or -25
Express this equation in logarithmic form. y = 10^x
X=
For this case we must find the value of the variable "x" of the following equation:
[tex]y = 10^{x}[/tex]
We rewrite the equation as:
[tex]10 ^ {x} = y[/tex]
We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.
[tex]log (10 ^ {x}) = log (y)\\x (log (10)) = log (y)[/tex]
The logarithmic base 10 of 10 is 1.
[tex]x * 1 = log (y)\\x = log (y)[/tex]
ANswer:
[tex]x = log (y)[/tex]
Zach has a z-score of -1.5
What is his height in inches
Multiply the z-score by the standard deviation:
2 x -1.5 = -3
Now add that to the mean:
49 + -3 = 46 inches.
Answer:
Mean = 49 inches
Standard deviation = 2 inches
Z Score for the Distribution = -1.5
Formula for , Z Score
[tex]Z_{score}=\frac{X-\mu}{\sigma}\\\\ -1.5 =\frac{X- 49}{2}\\\\ X-49 = -1.5 \times 2\\\\ X= 49 -3\\\\ X=46[/tex]
So, Height in inches = 46 inch
The solution to 16x = 48 is x = ___. (Only input the number.) please answer quick!
Answer:
3
Step-by-step explanation:
X = 3 I hope this helps!
8.2 oz of toothpaste for $2.99 or 64 oz of toothpaste for $2.49
Answer:
i think you meant 6.4 oz, and if so, the 8.2 oz
Step-by-step explanation:
The expression 9x represents the number of miles Allison hiked, and 4x + 5 represents the number of miles that Adrian hiked in x days. Write an expression to show how many more miles Allison hiked than Adrian.
Question 7 options:
5x – 5
–5x + 5
5x + 5
13x + 5
For this case we have that Allison traveled 9x miles, while Adrian traveled 4x + 5 miles. The variable "x" represents the number of days.
We want to know how many miles of Allison toured Adrian, for this we subtract:[tex]9x- (4x + 5) =[/tex]
We take into account that:[tex]- * + = -[/tex]
[tex]9x-4x-5 =\\5x-5[/tex]
ANswer:
[tex]5x-5[/tex]
Answer:
Expression to show how many more miles Allison hiked than Adrian is:
5x-5
Step-by-step explanation:
Number of miles Allison hiked = 9x
Number of miles that Adrian hiked = 4x+5
Miles Allison hiked more than Adrian
= 9x-(4x+5)
=9x-4x-5
=5x-5
Hence, expression to show how many more miles Allison hiked than Adrian is:
5x-5
2 and one half cakes are divided up into 18 pieces for guests how much cake will each person get
Well if you were to do 18 ÷ 2 it would be 8. But since this is 8 and a half let's use 2.5. So, let's do this.
18 ÷ 2.5 = 7.2.
But since cake can't be exactly that we can estimate to 7 since it is the closest so, the answer is 7 pieces of cake.
the combined area of two squares is 45 cenimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square
The side length of one square would be X, then the side of the second square would be 2X ( twice as long as the first one.)
Area of a square is side x side
The area of the first square would be x times x which becomes x^2.
The area of the second square would be 2x x 2x , which becomes 4x^2.
Now the sum of the two equals 45.
Now you have x^2 + 4x^2 = 45
Simplify to get:
5x^2 = 45
Divide both sides by 5:
x^2 = 45/5
x^2 = 9
Take the square root of each side:
x = √9
x = 3 cm.
The first square has side length x = 3 cm.
The second square was 2x = 2 *3 = 6 cm.
Which answers is it a b or c
Answer:
B
Step-by-step explanation:
Use the equation for the area of a parallelogram.
[tex]A=bh[/tex]
Now solve for [tex]h[/tex].
[tex]h=\frac{A}{b}[/tex]
Plug in.
[tex]h=\frac{450}{15}[/tex]
[tex]h=30[/tex]
Answer:
B, 30 inches
Step-by-step explanation:
the areao of a parallelogram's formula is A = bh
in the word problem, we are given A and b, so we plug that into the formula to solve for h
450 = 15h < divide both sides by 15 to get h alone
450/15 = 30
15h/15 = h
h = 30
the solution to the word problem is B, 30 inches
I need the heeelllppppsssss
Answer:
21.75
Step-by-step explanation:
If A onto B is 1 : 7.25 then you would do A times 7.25 to find the corresponding side. 3 times 7.25 is 21.75
that answer is correct ^^
Which of the following represents the area of a rectangle whose length is 5x
Answer:
the answer is 5x.
Step-by-step explanation:
There is no width to compare it with, so it will therefore be only 5x.
The cruising speed of a Boeing 747 is 250 m/s.At this rate what distance does it travel in one minute?
Answer:
15,000m or if you want it in km it is 15km
Step-by-step explanation:
1 minutes = 60 seconds
250 × 60 = 15,000 m
Answer:
15,000 m.
Step-by-step explanation:
There are 60 seconds in one minute.
Therefore the distance the plane travels in one minute = 250*60
= 15,000 m answer.
find the volume of the prism.
a) 1728 cu. in.
b) 864 cu. in.
c) 288 cu. in.
The volume of prism is 1728 cu. in.(Option a)
How to find volume of prism?A prism is a geometric 3-D shape which is named by its shape of base, In a prism, base and its opposite face are same.
For example: Given here is a cubic prism and a shape with triangle as a base is a triangular prism.
Prism given here is also known as cube.
The volume of the cube is given by :
Side*Side*Side where side is the length of side of the base square.
Here side=12 inches
Volume of cube is given by the formula,
Volume=[tex]a*a*a[/tex]
Where a is edge of the cube.
We are given edge of cube as 12 inches
Plugging the value of edge in given formula:
Volume=[tex]12*12*12[/tex]
Volume = 1728 cubic inches.
Volume of cube is 1728 cubic inches.
Therefore, the volume of prism is 1728 cu. in
T o know more about volumes refer to:
https://brainly.com/question/9006980
#SPJ2
Which of the following ordered pairs is a solution to the following equation: y= -4x 2 squared:
Choices:
A.) (-2,16)
B.) (1, -8)
C.) 0, -4)
D.) 2, -16)
Please Hurry! I need the answer!!!
Answer:
D. (2, -16)
Step-by-step explanation:
The given function is:
[tex]y=-4x^2[/tex]
when x=2, we substitute 2, wherever we see x to find the corresponding y-value of x=2.
This implies that:
[tex]y=-4(2)^2[/tex]
[tex]y=-4\times 4[/tex]
[tex]y=-16[/tex]
The correct choice is D
Give one real word example for the following: perimeter, area, volume.
Answer:
perimeter of a children's playground, area of a house, volume of a glass of orange juice.
Step-by-step explanation:
Certainly! Here are some real-world examples for each of the geometric concepts:
**Perimeter**: The perimeter is the total distance around the edge of a two-dimensional shape. A real-world example of perimeter would be the total length of fencing required to enclose a backyard garden. If you wanted to put a fence around your garden and your garden is a rectangle, you would measure the lengths of all four sides and add them together to find out how much fencing you need.
Area: Area refers to the size of a surface. It is measured in square units (like square meters, square feet, etc.). A real-world example of area could be the amount of paint needed to cover a basketball court. If you wish to repaint the surface, you need to calculate the area of the court to determine how much paint to buy. The area is the product of the length and the width of the basketball court.
**Volume**: Volume measures the amount of space within a three-dimensional object; it is expressed in cubic units (like cubic meters, cubic inches, etc.). A real-world example of volume is the amount of water needed to fill a swimming pool. To determine how much water you need, you would calculate the volume of the pool by multiplying the pool's length, width, and depth. The result would tell you how much water is required to fill the pool to the brim.
A rectangular garden is 8 feet wide and 15 feet long. A diagonal path cuts through the entire garden. How long is the path?
Answer:
23
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an
average of 12 paintings.
What is the average number of paintings made by children at the art camp?
(work backwards multiplying the two averages with the two group of children. Add the averages, then divide by
all the children.)
Answer: 9.2
Step-by-step explanation: well if you have 10 kids and you already have both averages (8 and 12) all you have to do is multiply the averages by the amount of students so 7 x 8 = 56 and 3 x 12 = 36 then you add 56 + 36 which = 92 then you divide by 10 which gives you 9.2