Answer: 18 + 6a + 6b
Step-by-step explanation:
What Happens to the value of the expression 100 minus X as X increases
Step-by-step explanation:
if f (x) = 100 - x;
as x increases, the value of f(x) will decrease
Answer:
100 decreases
Step-by-step explanation:
26. Maria reads 40 pages of her novel in 4 hours At that rate, how many pages would she read in 5 hours?
Answer:
(40/4) x 5 = 50 pages
Step-by-step explanation:
Answer:
50 pages
Step-by-step explanation:
You would have to cross multiply, 40/4 = x/5.
Then, you would get 200 = 4x.
Finally, you would have to divide both sides by 4 to get x by itself and you would get your final answer, x = 50. ( Where x equals the pages read in hour 5.)
Hope this helped you out!!
Use the graph to write a linear function that relates y to x
y=
A sector has a radius of 12 centimeters and an angle of 65 degrees. Find it's arc length.
A. 18.2 cm
B. 13.6 cm
C. 12.6 cm
D. 14.6 cm
The arc length will be option B. 13.6 cm.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
If radius of the circle is of r units, then
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
The superscript 'c' shows the angle measured in radians.
Given; A sector has a radius of 12 centimeters and an angle of 65 degrees.
So we input our values in the formula:
2π (12) x 65/360
= 24π x 65/360
= 13.6
Hence, the arc length will be option B. 13.6 cm.
Learn more about angle, arc length relation here:
https://brainly.com/question/15451496
#SPJ2
Describe the relationship between the area of a circle and its circumstances
Answer:
[tex]A = \frac{r}{2}C[/tex]
Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:
[tex]C = 2\pi r[/tex]
Area is calculated as:
[tex]A = \pi r^2[/tex]
The area can be rewritten as:
[tex]A = \frac{2\pi r^2}{2}[/tex]
Further rewrite as:
[tex]A = \frac{r}{2}*2\pi r[/tex]
Recall that:[tex]C = 2\pi r[/tex]
So, the expression becomes
[tex]A = \frac{r}{2}*C[/tex]
[tex]A = \frac{r}{2}C[/tex]
A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and 1996) and 60% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 Millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay off their credit cards each month is greater than this proportion for Millennials
Answer:
We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians
Step-by-step explanation:
Sample proportion 1: Born between 1980 and 1996
sample size n₁ = 450
p₁ = 0,48 p₁ = 48 %
x₁ = 0,48 * 450 x₁ = 216
Sample proportion 2: Born between 1965 and 1971
sample size n₂ = 300
p₂ = 0,60 p₂ = 60%
x₂ = 0,6* 300 x₂ = 180
Test Hypothesis:
Null Hypothesis H₀ p₂ = p₁
Alternative Hypothesis H p₂ > p₁
Samples both big enough to use the normal distribution as an approximation to the binomial distribution.
We assume CI = 95 % then significance level α = 5 % the alternative hypothesis tells us that we need to develop a one-tail test to the right.
z-score is z(c) for α = 0,05 from z-table z(c) = 1,64
To calculate z(s)
z(s) = ( p₂ - p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)
p₂ - p₁ = 0,60 - 0,48
p₂ - p₁ = 0,12
p = ( x₁ + x₂ ) / n₁ + n₂
p = ( 216 + 300) / 450 + 300
p = 516 / 750 p = 0,688 then q = 1 - p q = 0,312
z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)
z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)
z(s) = 0,12 / √ 0,001192
z(s) = 0,12/ 0,03452
z(s) = 3,47
Comparing |z(c)| and |z(s)|
z(s) > z(c)
Then z(s) is in the rejection region. We reject H₀.
We can support the claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians
I really need help!!!
If the lengths of two sides of a triangle are 3 and 4, which could be the length of the third side?
Answer: It’s 5 if it’s the two legs
Step-by-step explanation:
Use the Pythagorean Theorem
Slope intercept from 2x+2y=10
y=x-5
Thatll be one brainliest
At an online sports store, Jeremy bought 5 of the same pairs of shorts for him and his friends. He got free shipping because his total was at least $120. What was the minimum price of each pair of shorts? Write and solve an inequality to represent the situation.
Plz help no file
Answer:
24
Step-by-step explanation:
I'm pretty sure that it would be division so 120 divided by 5 is 24
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm
Is g(x)=9+7x a linear equation
Answer:
Yes
Step-by-step explanation:
A linear equation follows the y=mx+b equation. Your equation is g(x)= 7x+9 which follows the formula.
Answer:
Yes.
Step-by-step explanation:
Option #1: Graph the equation. (you can search "y=9+7x")
Option #2: Look at the equation. Rewrite it as "y=7x+9". This follows the form of y=mx+b, which is the form of a linear equation.
6. An electrician needs to repair a lamp on a wall whose height is 55 m. The lamp
is 11 m below the top most point. She uses a ladder to reach the lamp as shown
in the figure below. If the ladder is inclined at 60 degrees to the ground, what is the length of the
ladder?
Answer:
first one is correct
Step-by-step explanation:
pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Step-by-step explanation:
The model that illustrates the relationship is 4x=10.404x=10.40
The cost of each ice cream was x=\$2.60x=$2.60
Step-by-step explanation:
Let
x----> the cost of one ice cream
we know that
The linear equation that represent this situation is
4x=10.404x=10.40
solve for x
Divide by 4 both sides
x=10.40/4x=10.40/4
x=\$2.60x=$2.60
Answer:
First answer is y = 2.6 (or answer two)
Second answer is Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)
Third answer is
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)
Step-by-step explanation:
Correct on edge 2021
and i did the calculations
I hope this helped have a great day!
Jack bought 3 slices of cheese pizza and 4 slices of
mushroom pizza for a total cost of $12.50. Grace
bought 3 slices of cheese pizza and 2 slices of
mushroom pizza for a total cost of $8.50.
a. What is the cost of one slice of cheese pizza and
one slice of mushroom pizza?
b. Jordyn met Jack and Grace for pizza. She bought 5
cheese slices and 2 mushroom pizzas. How much did
she spend?
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answer: Mike!
Step-by-step explanation:
Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4
Answer: D. 4
Step-by-step explanation:
Which value for x makes the sentence true?
10x - 5 = - 55
A. - 50
B. - 6
C. - 10
D. - 5
Answer:
D) -5
Step-by-step explanation:
10x-5=-55
10x=-55+5
10x=-50
x=-50/10
x=-5
The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?
Answer:
She should win approximately 30 times.
Step-by-step explanation:
Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.
A researcher was interested in comparing the amount of time spent watching television by women and by men. Independent simple random samples of 14 women and 17 men were selected, and each person was asked how many hours he or she had watched television during the previous week. The summary statistics are as follows: Women Men _ Sample mean 12.9 hrs 16.4 hrs Sample SD 4.0 hrs 4.2 hrs Sample size 14 17 This sample data is then used to test the claim that the mean time spent watching television by women is less than the mean time spent watching television by men. Assume that the sample variances are equal, and a .05 significance level is used. What can we conclude from this test
Answer:
there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Step-by-step explanation:
H0 : μw = μm
H1: μw < μm
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
df1 = 14 - 1 = 13
df2 = 17 - 1 = 16
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)
Sp² = 16.90
t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))
t = - 3.5 ÷ 1.4836645
t = - 2.359
Using the Pvalue from Tscore ; at 95% ; df = 29
Pvalue = 0.0126
Pvalue < α
0.0126 < 0.05 ;
Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 66 of fat. Tara has 1 scoop of Cherry and 3 scoops of Mint Chocolate Chunk for a total of 70 of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Answer:
Cherry ice cream contains 19.75 grams of fat
Mint chocolate chunk ice cream contains 6.75 grams of fat.
Step-by-step explanation:
From the given question,
3C + 1M = 66 ............. 1
1C + 3 M = 70 ........... 2
Multiply equation 1 by 1, and 2 by 3 to have,
3C + 1M = 66
3C + 9 M = 210
Subtract,
1 M - 9 M = 66 - 210
-8 M = -54
Divide through by -8 to have,
M = 6.75
Substitute the value of M in equation 1,
3C + 1(6-75) = 66
3C = 66 - 6.75
3C = 59.25
C = 19.75
Thus,
1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.
Which describes money that is received from a sale of goods or services?
O A. Benefit
O B. Cost
C. Revenue
O
D. Asset
SUBMIT
What is the volume of the rectangular prism below?
Answer:
148.8 cm
Step-by-step explanation:
Length * width * height = volume
9.3 * 4 * 4 = 148.8
What type of slope is this table?
Answer:
It is a negative slope :)
A scale model of an object has a scale of 1cm : 2ft. The actual object is 11 feet tall. How tall is the model?
Given:
The scale model of an object has a scale of 1cm : 2ft.
The actual object is 11 feet tall.
To find:
The height of the model.
Solution:
It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.
Let the height of the model be x cm.
[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]
[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]
[tex]x\ cm=5.5\ cm[/tex]
Therefore, the model is 5.5 cm tall.
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
Can someone explain how they got the answer please
Answer:
The answer is B-452.4
Step-by-step explanation:
The formula for volume of a cylinder is V= πr^2h
so you would do 3.14 times 6 squared times 4
6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2
Hope this helps!
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.
Given that the quadrilateral shown is a rhombus, which statements are correct? A) mz1 = 32° D) m26 = 58° B) m 2 = 58° E) m27 = 32° C) mz3 = 32°
Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.
The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.
The two diagonals are perpendicular so angle 8 would be 90 degrees.
The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.
Here are all the angles:
1 = 58
2 = 58
3 = 32
4 = 32
5 = 32
6 = 58
7 = 58
8 = 90
Now just pick the correct answers
620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years
Answer:
Y=620×((1+(0.055÷4))^(4t)
Step-by-step explanation:
Y=X ((1+(r/n))^(nt)
Y future value
X present value 620
R interest rate 0.055
N compound quarterly 4
T time
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
To know more about an expression follow
https://brainly.com/question/23857649
#SPJ5