peaches = 3 less than one half the number of grapes
so from the written problem you can get:
p=1/2g-3
1/2g is the same as g/2
so answer is A. p= g/2-3
If the blue radius below is perpendicular to the chord ac which is 14 units long, what is the length of the segment ab
The answer (APEX) is: "7 units."
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall? The number of rolls per wall is
Assuming there are 4 walls
6/4 = 1.5 rolls per wall
Answer:
A
Step-by-step explanation:
1: -(5x + 7) + 1 = -5x -5
2: 4x - 7 + 2x = 2(3x - 3) - 1
3: -4x - 2 = -2(1 - 4x)
Michael rented a truck for one day. there was a base fee of $19.95 , and there was an additional charge of 96 cents for each mile driven. michael had to pay $147.63 when he returned the truck. for how many miles did he drive the truck?
WILL GIVE BRAINLIEST-What is the average rate of change of the function on the interval from x = 0 to x = 2?
f(x)=250(0.5)x
The average rate of change of the function will be -93.75.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given that the interval from x = 0 to x = 2 and the function is [tex]f(x)=250(0.5)^x[/tex].
Calculate the value of the function at x = 0 and x = 2
[tex]f(x)=250(0.5)^x[/tex].
[tex]f(0)=250(0.5)^0=250\\f(0)=250(0.5)^2=62.5[/tex].
The average rate of change will be calculated as,
Rate of change = ( 62.5 - 250 ) ( 2 - 0)
Rate of change = -93.75
Therefore, the average rate of change of the function will be -93.75.
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At North parking garage it costs $5 to bring your car into the garage plus $2 for every hour the car is parked
The equation relating the total cost with the number of hours will be c = 2.25h + 5.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have North parking garage where it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked.
Assume that [h] represents the number of hours the car was parked and [c] represents the total cost. Then, we can write the equation relating the total cost with the number of hours will be -
c = 2.25h + 5
Therefore, the equation relating the total cost with the number of hours will be c = 2.25h + 5.
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[The complete question is -
At the North parking garage it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked. If h, represents the number of hours the car was parked and c, represents the total cost, which equation would model this situation?]
One angle of an isosceles triangle measures 100°. which other angles could be in that isosceles triangle? choose all that apply. 20° 30° 50° 40° submit
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The other angles in the isosceles triangle are 40°.
Option D is the correct answer
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Isosceles triangle:
One angle = 100°
We know that,
In an isosceles triangle, there are two equal sides and two equal angles opposite to the equal sides.
The sum of the three angles in the isosceles triangle is 180.
We already have,
One angle = 100°
The other two should be equal.
The sum should give us 180°.
Now,
40 + 40 = 80
100 + 80 = 180°
Thus,
The other angles in the isosceles triangle are 40°.
Option D is the correct answer
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Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-9 8. x=-8
Final answer:
After solving the original equation 2/3(6x+12)=-24, we find x = -8. Comparing this solution with the provided equations, the ones that have the same value for x are 9x+18=-24, 18x+36/2=-24, and x=-8.
Explanation:
To find which equations have the same value for x as 2/3(6x+12)=-24, we must first solve the original equation to find the value of x it yields:
2/3(6x+12) = -24
Multiply both sides by 3/2 to eliminate the fraction:
6x + 12 = -24 * (3/2)
6x + 12 = -36
Subtract 12 from both sides:
6x = -48
Divide by 6:
x = -8
Now we will compare this solution with the other equations:
4x+8=24 -> Does not match.9x+18=-24 -> When solving for x, we get x=-8, which matches.4x+12=-24 -> Does not match.18x+36/2=-24 -> Simplify to get 9x+18=-24, x = -8, matches.4x=-36 -> Does not match.4x=-32 -> Does not match.x=-9 -> Does not match.x=-8 -> Directly given the solution, which matches.Therefore, the equations that have the same value of x as the original equation are 9x+18=-24, 18x+36/2=-24, and x=-8.
Which of the following is a step in constructing a circle circumscribed about a triangle?
a. Use a compass to locate the intersection of the midpoint of each side.
b. Use the perpendicular bisectors to find the center of the circle.
c. Use a compass to locate the intersection of the altitude of each side.
d. Use the angle bisectors to find the center of the circle.
Answer:
Answer B is correct
Help please thanks!!!!!!!!!!!
Answer:
P represents the population in year 0
Step-by-step explanation:
Which is the best approximation for the measure of angle XYZ?
A) 33.6°
B) 39.8°
C) 50.2°
D) 56.4°
Answer
39.8°
Explanation
To solve this we can use the trigonometric ratio tangent.
tan x = opposite / adjacent
= 10/12
= 0.8333...
x = tan⁻¹(0.8333..)
= 39.8°
The best approximation for the measure of angle XYZ in the given triangle is 39.8 degrees.
To solve this we can use the trigonometric ratio tangent.
What is the trigonometric ratio tangent?tan x = opposite side / adjacent side
We have given the,
Opposite side=10in
Adjacent side=12in
use this value in the gven formula
Therefore we get,
tanx = 10/12
tanx = 0.8333...
x = tan⁻¹(0.8333..)
x = 39.8°
Therefore, The best approximation for the measure of angle XYZ is 39.8 degrees.
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Line l has a _____ slope.
positive
negative
undefined
0
Answer: positive
Step-by-step explanation:
The slope of a line is given by:-
[tex]m=\dfrac{\text{rise}}{\text{run}}[/tex]
From the given picture, it can be seen that the rise in the line l is positive since the change in the y coordinates increases as we from left to right.
Similarly we can see that the run in the line l is positive since the change in the x coordinates increases as we from left to right.
By using above formula, the slope of line m is positive.
Find the equation of a line in standard form that passes through the point (0,3) and is parallel to y=8x-3
Evaluate the expression: |8|-|-2|
Thanks
Which of these quadrilaterals can always be classified as a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid
What value of x is in the solution set of 8x – 6 > 12 + 2x?
What is the answer to this question
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answer:
(C)
Step-by-step explanation:
It is given that a right triangle, ACB which is right angled at C has BC = 24 inches, and AB = 25 inches.
We know that m∠C=90°,
Using the trigonometry in ΔACB, we have
[tex]sinB=\frac{AC}{AB}[/tex]
Substituting the given values, we get
⇒[tex]sinB=\frac{24}{25}[/tex]
⇒[tex]B=sin^{-1}(0.96)[/tex]
⇒[tex]B=73.7^{\circ}[/tex]
Also, [tex]sinA=\frac{CB}{AB}[/tex]
Substituting the given values, we get
⇒[tex]sinA=\frac{7}{25}[/tex]
⇒[tex]A=sin^{-1}(0.28)[/tex]
⇒[tex]A=16.3^{\circ}[/tex]
Therefore, the measure of the angles in triangle ABC are m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°.
Thus, option C is correct.
Question 2:
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
24
What is the measure of an interior angle?
How many sides does the polygon have?
Question 1:
What are ED and FD in the figure to the right?
ED=
FD=
The measure of an interior angle of the regular polygon is 156 degrees and the polygon has 15 sides.
Explanation:In a regular polygon, the measure of an exterior angle is equal to 360 degrees divided by the number of sides of the polygon. In this case, the measure of the exterior angle is given as 24 degrees. So we can set up the equation:
24 = 360 / n
Where n is the number of sides. Cross multiplying, we get:
n = 360 / 24 = 15
So the polygon has 15 sides. To find the measure of an interior angle, we can use the formula:
Interior Angle = 180 - Exterior Angle
Interior Angle = 180 - 24 = 156 degrees
The following triangle CAT is transformed using a translation: Triangle CAT is shown. C is at 0, 0, A is at negative 2, 1, T is at negative 1, 4. Which could be coordinates of C'A'T' after the translation? (4 points) Select one: a. C=(0,0), A=(2,1), T=(1,4) b. C=(2,0), A=(0,1), T=(1,4) c. C=(0,0), A=(−1,−2), T=(−4,−1) d. C=(−2,0), A=(−1,0), T=(−4,1)
the answer would be b. C=(2,0), A=(0,1), T=(1,4)
all x's move 2 to the right and no change in y
Solution: If a shape is being translated neither it's shape nor size changes.When we translate a shape we just move a shape or geometrical figure by certain distance either horizontally or vertically or both horizontally and vertically.
Coordinates of Triangle CAT is →C(0,0), and A(-2,1), and T(-1,4).
In option (a) vertices C has not been translated , but A and T are translated.Which is Untrue because we have to move all the vertices by same value. But x and y can have different value.
In option (b) all the coordinates C,A,and T is being translated along→ x by 2 units , horizontally right, but not translated in vertical direction.
C(0,0)⇒C(0+2,0+0)→C(2,0)
A(-2,1)⇒C(-2+2,1+0)→C(0,1)
T(-1,4)⇒C(-1+2,4+0)→C(1,4)
In option C, Coordinates of A and B are changed but not of C, So in this case translation can't happen.
In option D , C is being translated 2 units horizontally left , but amount of translation in A and T are different.
So , Option (b) is true.
Write a function rule for the table. p = 12.5h p = h + 12.5 h = 6.25p p = 6.25h
Answer:
A. p=6.25h
because
6.25 (2) = p 12.50
6.25 (4) = p 25.00
6.25 (6) = p 37.50
6.25 (8) = p 50.00
the number of peaches, p, is three less then twice the number of grapes,g. which expression represents the number of peaches in terms of the number of grapes?
negative one sixth of a number is less than -9
The number will be greater than 54 such that a negative one-sixth of a number is less than -9.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's suppose that number is x
Then,
negative one-sixth of x
-(1/6)x is less than -9
-(1/6)x < -9
-x < -54
Multiplying by - will change the sign of inequality
So,
x > 54
Hence "The number will be greater than 54 such that a negative one-sixth of a number is less than -9".
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how do you solve the equations:
-(1+4m)-6m=-81
and
238=-5(6v-7)-7
A group of students is investigating whether copper is a better thermal conductor than steel. The students take a copper wire and a steel wire of the same length and diameter. They put equal lengths of wax on one end of each wire and dip the other end into a beaker of hot water. The length of wax left on the wires after 10 minutes is shown.
Experimental Observations
Copper Steel
Original length of wax: 3 cm 3 cm
Length of wax after 10 minutes: 0.7 cm 1.8 cm
What was the dependent variable in this experiment?
Type of wire used
Original length of wire
Original length of wax
Thermal conductivity of wire
The correct dependent variable in this experiment is the Length of wax after 10 minutes.
In the context of an experiment, the dependent variable is the variable that is being measured or tested in the experiment. It is the outcome that the experimenters are interested in observing to determine the effect of the independent variable.
In this case, the students are investigating the thermal conductivity of copper and steel wires by observing how much wax melts over a fixed period of time when the wires are heated. The independent variable is the type of wire used (copper or steel), as this is what the students are changing to see its effect on the dependent variable.
The dependent variable is the length of wax remaining after 10 minutes because this measurement is expected to change based on the thermal conductivity of the wire. The better the thermal conductor, the more heat will be transferred along the wire, and the more wax will melt. Since the students are measuring how much wax has melted (by subtracting the length of wax after 10 minutes from the original length), this is the dependent variable.
The original length of wire and the original length of wax are control variables; they are kept constant to ensure that any differences in the dependent variable are due to the independent variable (the type of wire) and not due to other factors. The thermal conductivity of the wire is a property being indirectly measured through the observation of the dependent variable. It is not directly measured and thus is not the dependent variable.
Your football team gained four yards on the first down into yards on the second down during its last possession which number is the additive inverse of yards gained
A-2
B -6
C 4
d 6
Answer:
B. -6
Step-by-step explanation:
There is a mistake in the question. It would have to say:
Your football team gained four yards on first down and two yards on second down during its last possession
So, your team gained 4 + 2 = 6 yards.
Calling x, the additive inverse of 6, the following equation must be satisfied:
6 + x = 0
x = 0 - 6
x = -6
What is the median ofthe data setgiven below? 42, 20, 12, 15, 18, 15, 29, 33?
Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy’s account balance be in 7 months?
Find the center and radius for the circle defined by the equation x^2 + y^2 + 5x -y + 2
How is the theme of deception introduced twice in this scene?