Answer:
opotion 2!
Step-by-step explanation:
The length of the diameter, d, of the circle is 24 cm. Find the length of the radius, r, of the circle.
A businessman bought a personal computer for $10,768. Calculate the selling price of the personal computer if he made a profit of 12 percentage
Answer:
$12,060
Step-by-step explanation:
LET selling price be rep by x
since he made a profit of 12%, we then add to 100%
100% + 12% = 112%.
to find the selling price, we multiply cost price by 112%
112% x $10768 =
112 / 100 x $10,768
= 1.12 x $10,768 = 12,060
selling price = $12,060.
Answer:
12060.16
Step-by-step explanation:
state the probability and odds for each event: think about rolling a die.
P(4) _____ _____
P(1 or 3) ______ ______
Answer: 1/18
Step-by-step explanation:
the probability that you roll a 4 on a standard die is 1/6 because there is 6 sides then the probability of rolling a 1 or a 3 is 2/6 or one third. then multiply 1/3 by 1/6 and you get the final answer of 1/18 :)
Please help me with this please and thank you
Step-by-step explanation:
y = ax^n + bx^(n-1) ... + z
(0, 1) tells us that the constant term z = 1.
because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.
for the other pairs I strongly suspect
(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3
(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9
so, the fitting equation is
y = 2x² + 1
Annas car uses five liters of fuel per 100km. her father's car uses seven liters of fuel per 100 km. petrol costs $2 a liter. anna spends less her father on a 500km trip. how much less does she spend?
Anna spends $20 less than her father on the 500 km trip.
Given: Anna's car uses 5 Liters per 100 km
Her father's car uses 7 Liters per 100 km
Cost of petrol is $2 per Liter
Anna spends less than her father on a 500 km trip. To find by how less Anna had spent than her father.
Let's solve the question:
According to the question Anna's car uses:
5 Liters per 100 km or
100 km is travelled with 5 Liters of petrol.
Then 1 km is travelled by 5 / 100 Liters of petrol.
1 km is travelled by 1 / 20 Liters of petrol by Anna.
According to the question Anna's father car uses:
7 Liters per 100 km or
100 km is travelled by 7 Liters of petrol.
Then 1 km is travelled by 7 / 100 Liters of petrol.
1 km is travelled by 7 / 100 Liters of petrol by Anna's father.
Now 500 km is travelled by:
Anna's car: 1 km is travelled by 1 / 20 Liters of petrol. Then 500 km is travelled by500 × 1 / 20 Liters of petrol = 25 Liters of petrol.
Therefore 500 km is travelled by 25 Liters of petrol.
Anna's father car: 1 km is travelled by 7 / 100 Liters of petrol. Then 500 km is travelled by500 × 7 / 100 Liters of petrol = 35 Liters of petrol
Therefore, 500 km is travelled by 35 Liters of petrol.
Cost of petrol is $2 per Liter.
Anna: She consumes 25 Liters of petrol for the 500 km journey.
Her cost is 25 × 2 = 50
Anna's cost = $50
Anna's father: He consumes 35 Liters of petrol for the 500 km journey
His cost is 35 × 2 = 70
Anna's father cost = $70
Therefore, the difference in cost = (Anna's father cost - Anna's cost) = ($70 - $50) = $20.
Hence Anna spends $20 less than her father on the 500 km trip.
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Anna spends $20 less than her father on the 500 km trip.
fuel used by Anna = 5 Liters per 100 km
Fuel used by father = 7 Liters per 100 km
Cost of petrol = $ 2 per Liter
we need to find by how less Anna had spent than her father.
By using the unitary method, we get that:
Anna:
500 × 1 / 20 Liters of petrol = 25 Liters of petrol.
500 km is travelled by 25 Liters of petrol.
Father:
500 × 7 / 100 Liters of petrol = 35 Liters of petrol
500 km is travelled by 35 Liters of petrol.
Anna:
Cost = 25 × 2 = $ 50
Anna's father:
Cost = 35 × 2 = $ 70
Difference in cost = $ 70 - $ 50 = $ 20.
Therefore, Anna spends $20 less than her father on the 500 km trip.
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factor the binomials using gcf 16p + 4
Can the distributive property be used to rewrite
2 x (7- 4)?
If yes, fill in the blanks below.
(? x ?) - ( ? x ?)
Yes the distributive property can be used to rewrite the equation 2 x (7- 4) to appear in the form
(2 * 7) - (2 * 4)What is the distributive property of multiplication?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
In other words, an equation of the type A (B + C) can be solved as
= A (B + C)
= AB + AC
in accordance with the distributive property.
As it relates to the problem, 2 x (7- 4)
A = 2
B = 7
C = 4
2 x (7- 4)
= 2 * 7 - 2 * 4
The distributive property is also applicable to subtraction as used in the problem,
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graphing lines and killing zombies
Graph the equations on a graph and pick which zombie the arrow points to. then write down each one starting from 1 to 12.
The order of points is:
1. -33 5. -55 9. 2.4
2. -23 6. -2.6 10. 7.6
3. -11.5 7. -2.5 11. 9.3
4. -10 8. 2.33 12. 10.6
Given,
The equations:
1. y = (-2/3) × -16 = 10.66
2. y = (1/2) × -23 = -11.5
3. y = (3/2) × -22 = -33
4. y = (4/3) × -2 = -2.66
5. y = (1/3) × 23 = 7.66
6. y = (1/2) × -5 = -2.5
7. y = (-1/4) × 22 = -5.5
8. y = 1 × -23 = -23
9. y = (4/3) × 7 = 9.33
10. y = (1/3) × 7 = 2.33
11. y = -1 × 10 = -10
12. y = (-2/5) × -6 = 2.4
We have to order this from 1 to 12. That is ascending order:
Here is the equations:
1. y = (3/2) × -22 = -33
2. y = 1 × -23 = -23
3. y = (1/2) × -23 = -11.5
4. y = -1 × 10 = -10
5. y = (-1/4) × 22 = -5.5
6. y = (4/3) × -2 = -2.66
7. y = (1/2) × -5 = -2.5
8. y = (1/3) × 7 = 2.33
9. y = (-2/5) × -6 = 2.4
10. y = (1/3) × 23 = 7.66
11. y = (4/3) × 7 = 9.33
12. y = (-2/3) × -16 = 10.66
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A reflection of shape I across the y-axis, followed by a (90 counterclockwise rotation 90 clockwise rotation 180 rotation) and then a translation left 6 units and down 4 units confirms congruence between shape I and shape II. Alternatively, a (90 counterclockwise rotation 90 clockwise rotation 180 rotation)
of shape II about the origin, followed by a reflection across the y-axis, and then a translation right 4 units and up 6 units confirms congruence between shape II and shape I.
Answer:
1 90 clockwise rotation 2 90 counterclockwise rotation
Step-by-step explanation:
Transformation is a method required to resize or change the orientation of a given shape or figure. The required answer is:
i. Statements b and d would map Shape l onto Shape II
ii. Statements a, c, e, and f does not map Shape l onto Shape II
What is transformation?Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation. The translation is a method that requires moving every point in a given shape in the same direction and same unit.
Reflection is a method that involves flipping a given figure about a given reference point or line. Rotation is a method that required turning a given figure at an angle about a reference point. Dilation is a method in which the length of the sides of the figure is either increased or decreased. Thus the answers to the question are listed as follows:
a. a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation left 6 units. Does not Map Shape l onto Shape II
b. a 90° clockwise rotation about the origin and then a translation left 6 units Answer: Maps Shape l onto Shape II
c. a 90° counterclockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation left 6 units.
d. Does not Map Shape l onto Shape IId. a 90° clockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation right 4 units Answer: Maps Shape l onto Shape II
e. a 180° rotation about the origin, followed by a reflection across the y-axis, and then a 90° clockwise rotation about the answer of the origin: Does not Map Shape l onto Shape II
f. a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation right 4 units. Does not Map Shape l onto Shape II.
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I need help to find the answer.
EXPLANATION:
Given;
We are given a parallel pair of lines m and n, and a transversal that cuts both lines.
Required;
We are required to find the value of x.
Step-by-step solution;
When a pair of parallel lines are cut by a transversal, the angle formed by the point of intersection of one line and the transversal is equal to that formed by the other line and the transversal when they both lie on the same side of the transversal.
This means on the diagram given;
This means angle 167 on line n is equal to angle 167 on line m. These are called corresponding angles.
The same applies to angle x on the line m and the other angle on line n. They both are also corresponding angles.
Next, take note that angles that lie on either side of a vertex where two lines intersect are called vertically opposite angles (or just opposite angles).
Therefore, angle x = 167 and angle 167 = x.
ANSWER:
\(x=167\degree\)Round $24.76 to the nearest $10.00.
A. $20.00
B. $24.00
C. $25.00
D. $30.00
Answer:
20.00
Step-by-step explanation:
a because 4 and under would round to 0
Answer:
A
Step-by-step explanation:
24.76 would round down to the nearest $10
Since it is not 25, 30 would not be the right answer so that leaves 20 as the correct answer.
George has only Quarters and nickels in his piggy bank.He has a total of 90 coins.The value of the coins is $16.10. Write and solve a system that can be used to determined how many quarters and how many nickels he has.
Answer:
The number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Step-by-step explanation:
It is important to note that:
A quarter is worth 25 cents = 0.25q
A nickel is worth 5 cents = 0.05n
George has only Quarters and nickels in his piggy bank.
Let the number of
Quarters = q
Nickels = n
He has a total of 90 coins.
Hence,
q + n = 90.... Equation 1
q = 90 - n
The value of the coins is $16.10.
Hence,
0.25q + 0.05n = 16.10....Equation 2
We substitute 90 - n for q in Equation 2
0.25(90 - n) + 0.05n = 16.10
22.5 - 0.25n + 0.05n = 16.10
Collect like terms
- 0.25n + 0.05n = 16.10 - 22.5
-0.2n = - 6.4
n = -6.4/-0.2
n = 32 nickels
Solving for q
q = 90 - n
q = 90 - 32
q = 58 quarters
Therefore, the number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
To test H0: σ =2.1 versus
H1: σ >2.1, a random sample of size n=17 is obtained from a population that is known to be normally distributed.
(a) If the sample standard deviation is determined to be s=2.8, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the alpha equals α =0.05 level of significance, use technology to determine the P-value.
(c) Will the researcher reject the null hypothesis?
To test the hypothesis H0: σ = 2.1 versus H1: σ > 2.1, where σ is the population standard deviation, we need to calculate the test statistic and determine the p-value.
a. To compute the test statistic, we use the formula: test statistic = (s - σ0) / (s/√n). where s is the sample standard deviation, σ0 is the hypothesized population standard deviation under the null hypothesis, and n is the sample size. Substituting the given values, we have: test statistic = (2.8 - 2.1) / (2.8 / √17) ≈ 1.703
b. To determine the p-value, we use technology such as statistical software or a t-distribution table. Since the sample size is small (n = 17) and the population is assumed to be normally distributed, we use the t-distribution. Using the t-distribution with degrees of freedom (df) = n - 1 = 16 and the test statistic of 1.703, we find the p-value associated with the right-tail probability. From the t-distribution table or using statistical software, the p-value is approximately 0.0545.
c. The researcher decides to test the hypothesis at the significance level α = 0.05. Since the p-value (0.0545) is greater than the significance level, we fail to reject the null hypothesis. There is not enough evidence to conclude that the population standard deviation is greater than 2.1. Therefore, the researcher will not reject the null hypothesis and will accept that the population standard deviation is equal to 2.1, as stated in the null hypothesis.
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Find the volume of each shape, please and I will give you a lot of points
Step-by-step explanation:
1.V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18×16=288
3.V=LWH L is the length, W is the width and H is the height
10×14×5=700
which ones greater -3/4 or -4/5
Answer:-3/4
Step-by-step explanation: -3/4= -.75
-4/5= -.8
What is the reflection rule that maps the triangle to its image?
P(8,4), Q(-6,5), R(4,5) and P (8,-12), Q'(-6,-13), R'(4,-13)
Marshall dove deeper three times in the ocean. If he had a total depth of six feet, how much did he dive each time, x?
Answer:
Step-by-step explanation:
He dove 2 feet each dive, because six divided by 3 is 2
The ryan family pays 1,347 per month for rent. If their rent doesn't change, how much will they pay in dollars for rent over 30 years
Answer: 4,84,920
Step-by-step explanation:
Given
The rent per month is 1347
for a year it is 12 months
for 30 years it is \(30\times 12=360\ \text{months}\)
Rent for 30 years it is
\(\Rightarrow \text{rent}=1347\times 360=484,920\)
Which is the best estimate of 11/12 x 4/5
Answer:
44/60
Step-by-step explanation:
times the top by the bottom.
20. It takes Zach 15 minutes to walk 7 blocks to the swimming pool. 7 At this rate, how many blocks can he walk in one minute? Circle the letter of the correct answer. how do I do this step by step to solve it by myself
Answer:
Zach chose C as the correct answer
i really need help asap!!
Answer:
X = 16
Step-by-step explanation:
These are supplementary angles, so they equal 180.
5x + 27 + 5x - 7 = 10x + 20
10x + 20 = 180
10x + 20 - 20 = 180 - 20
10x = 160
10x ÷ 10 = 160 ÷ 10
X = 16
Hope that helped you and have a good day!
Help pls I need rush
Answer:
Step-by-step explanation:
it is b
The number of shirts Karla owns is in the table.
Black 4
Blue 2
Green 1
Pink 3
Red 5
White 2
Yellow 1
What is the ratio of pink shirts to the total number of shirts?
A. 1 : 6
B. 3 : 4
C. 4 : 3
D. 6 : 1
Pls hurry
Answer:
A 1:6
Step-by-step explanation:
3:18 simply to 1:6
f(x)= -2x - 7 and g(x) = -4x + 3 . Find (f • g)(-5)
Answer:
(f o g)(-5) = -53
Step-by-step explanation:
Step 1: Define
f(x) = -2x - 7
g(x) = -4x + 3
Step 2: Find f(g(x))
f(g(x)) = -2(-4x + 3) - 7
f(g(x)) = 8x - 6 - 7
f(g(x)) = 8x - 13
Step 3: Find (f o g)(-5)
(f o g)(-5) = 8(-5) - 13
(f o g)(-5) = -40 - 13
(f o g)(-5) = -53
An acidic solution has a ph of 4. if i dilute 10 ml of this solution to a final volume of 1000 ml, what is the ph of the resulting solution?
The pH of the resulting solution, obtained by diluting 10 ml of the acidic solution to a final volume of 1000 ml, is 6.
The dilution equation states that the concentration of a solute remains constant when the volume of the solution changes.
Since the dilution factor is
1000 ml / 10 ml = 100
The concentration of H+ ions in the resulting solution is 1/100 times the concentration in the original solution.
The pH scale is logarithmic, meaning that each whole pH unit represents a tenfold change in the concentration of H+ ions.
Since the pH of the original solution is 4, which represents a concentration of 10^(-4) mol/L, the concentration of H+ ions in the resulting solution is 1
0^(-4) mol/L / 100 = 10^(-6) mol/L.
To calculate the pH of the resulting solution, we take the negative logarithm base 10 of the concentration:
pH_result = -log10(10^(-6))
= -(-6) (logarithm property)
= 6
Therefore, the pH of the resulting solution, obtained by diluting 10 ml of the acidic solution to a final volume of 1000 ml, is 6.
The dilution process has decreased the concentration of H+ ions, resulting in a less acidic solution with a higher pH value.
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Please help I will give brainless if correct: What are the coordinates of Q
Answer:
4,3
Step-by-step explanation:
The coordinates of Q are (4,3).
Answer:
(4,3)
Step-by-step explanation:
x-axis is 4 and y-axis is 3
What are the solutions of the equation 6x^2-x-1=0
Answer:
x=1/2 or x=-1/3
Step-by-step explanation:
6x^2-x-1=0
6x^2+2x-3x-1=0
(6x^2+2x)+(-3x-1)=0
2x(3x+1)-1(3x+1)=0
2x(3x+1)-1(3x+1)=0
(2x-1)(3x+1)=0
(2x-1)(3x+1)=0
2x-1=0
or
3x+1=0
x=-1/3
x=1/2
Answer:
Its 1/3 and -1/2
Step-by-step explanation:
Help please please please please
Answer:
Step-by-step explanation
TS=13 as opp sides in an isosceles triangle are equal
AngleT=60
as 60+60+T=180
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent.
the answer would be 27% :3
Answer:
27%
Step-by-step explanation:
the sum of 27 and four times a number is three times the same number find the number