Answer: 21,
Step-by-step explanation: Her sister is 27, so she’s 21. = 48.
The age of Natalie based on the given condition will be 21 years old while Mia's is 27 years old.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Suppose the age Mia is M while Natalie is N.
As per the given, Mia is six years older than her sister Natalie.
M = N + 6
Sum, M + N = 48
Substitute,
N + 6 + N = 48
2N = 42
N = 21
M = 21 + 6 = 27
Hence "According to the conditions, Natalie will be 21 years old, whilst Mia would be 27 years old".
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Which value of k makes the equation k/2 = 10 true?
(A) 20
(B) 12
(C) 8
(D) 5
Answer:
Step-by-step explanation:
Melonie, k = 2*10, is another way to look at this
I think you can get the answer now
k = 20 , if you're not sure
What degree of rotation about the origin will cause the triangle below to map
onto itself?
B
-8 -6
C
8
6
MO
2
-2-
T
-6-
-8
6 8
Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet
Step-by-step explanation:
Plzzzz Answer As SOON AS POSSIBLE. What is the volume of the figure? Down below? it will be worth your while ;)
Answer:
=60 cm
Step-by-step explanation:
i took the test
PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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The fee for using a gym is $25 a year plus $3 for each visit. If someone visits v times a year, which expression represents the amount he or she pays per year?
Answer:
y=3v+25.............
Answer:
$25 + $3v
Step-by-step explanation:
$25 + $3v
two functions are given below: f(x) and h(x) state the axis of symmetry for each function and explain how to find it f(x)=3(x+4)^2+1
The axis of symmetry for each function are x = -4 and x =1
How to determine the axis of symmetry for each function?The functions are given as
f(x) and h(x)
As a general rule of functions;
The axis of symmetry for a function is the x-coordinate of the vertex of the function
In f(x), we have
f(x)=3(x+4)² + 1
The vertex of this function is
(x, y) = (-4, 1)
So, the axis is x = -4
For function h(x), we have
The vertex of this function is
(x, y) = (1, -3)
So, the axis is x = 1
Hence, the axis of symmetry are x = -4 and x =1
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John rides his bike 0.23 miles. Angie rides her bike 100 times as far as jon rides. How many miles does angie ride her bike?
Please need help and steps
Answer:
Angie rode 23 miles
Step-by-step explanation:
Given John's distance 0.23, multiply that by the amount or times of distance that angie rides to find the distance she rode.
0.23 × 100
23
Angie rode 23 miles.
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
23 miles.
Step-by-step explanation:
This is an equation in words so let's start by putting it into numbers.
we know that John rides his bike for .23 miles and Angie rides her bike a whopping 100 TIMES as far. That means we would multiply.
.23 x 100 = 23
So that means Angie rides her bike for 23 miles.
Hope that helps and have a great day!
An insurance company estimates the probability of an earthquake in the next
year to be 0.0012. The average damage done by an earthquake it estimates to be
$60,000. If the company offers earthquake insurance for $100, what is their expected
value of the policy?
Answer:
- 27.88
Step-by-step explanation:
Probability of earthquake = 0.0012
P(earthquake). = 0.0012
P(no earthquake) = 1 - p(earthquake) = 1 - 0.0012 = 0.9988
X ____ 60,000 ______ - 100
P(X) ___ 0.0012 _____ 0.9988
The expected value of the policy :
E(X) = Σx*p(x)
E(X) = (0.0012 * 60000) + (0.9988 * - 100)
E(X) = 72 - 99.88
E(X) = - 27.88
A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
divide 7.39 divide 0.72 rounded quotient of the nearest hundredth
Answer:
10.26 I believe you wanted me to divide 7.39/0.72. If so, you get 10.2638 that rounds to 10.26
Step-by-step explanation:
Can u give me brainliest please
The value of the expression 7.39 ÷ 0.72 is 10.26 to the nearest hundredths.
We have,
Expression:
7.39 ÷ 0.72
Now,
The expression can be written as,
= 7.39 / 0.72 ______(1)
Simplify the numerator and denominator.
Numerator = 7.39 = 739/100 _____(2)
Denominator = 0.72 = 72/100 ______(3)
Now,
From (1), (2), and (3).
7.39 / 0.72
= (739/100) / (72/100)
= 739/100 x 100/72
100 is the common factor so it gets canceled.
= 739/72
= 10.2638888.....
Rounding to the nearest hundredths.
= 10.26
Thus.
The value of the expression 7.39 ÷ 0.72 is 10.26 to the nearest hundredths.
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Ms Gibson made an initial deposit of 500$ when opening a bank account. After the initial deposit, she deposited the same amount of money of each month-
A) a=250t
B) a=500t
C)a =250t+500
D)a=500+250
WILL MARK BRINLIST Which pairs of angles are congruent because they are vertical angles? Check all that apply. 7373 34 56 21 and 24 pls don't joke
Answer:
B, D represent pairs of vertical angles.
___
Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.
- sqdancefan
Need help ASAP What’s the area of a sum
ITS THE FOURTH QUESTION
The surface areas of the figures are 336, 82 and 836
How to calculate the surface areasFrom the question, we have the following parameters that can be used in our computation:
The figures
For the triangular prism, we have
Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12
Surface area = 336
For the rectangular prism, we have
Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)
Surface area = 82
For the cylinder, we have
Surface area = 2π * 7 * (7 + 12)
Surface area = 836
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The surface area of the prisms are
1. 336 cm²
2. 82 m²
3. 836 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of prism is expressed as;
SA = 2B +pH
where B is the base area , p is the perimeter and h is the height.
1. SA = 2B +ph
B = 1/2 × 6 × 8
= 24 m²
p = 6+8+10 = 24m
h = 12m
SA = 2 × 24 + 24 × 12
= 48 + 288
= 336 cm²
2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)
= 2( 6+21+14)
= 2( 41)
= 82 m²
3. SA = 2πr( r +h)
= 2 × 3.14 × 7( 7 + 12)
= 44( 19)
= 836 cm²
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If 4 cubic yards is "one load", how many loads of dirt must be moved to make a hole 30 feet
long, 25 feet wide, and 8 feet deep?
Answer:
Step-by-step explanation:
I need help on this quickly!!
Answer:
Step-by-step explanation:
,mnlnnl;
If spring A has a spring constant which is 8 times spring B's spring constant, what is the ratio of their periods? Which is the stiffer spring?
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.
Given that,
If spring A has a spring constant which is 8 times spring B's spring constant,
Let us assume,
A spring is cut into two parts of length La and Lb
Also given that La : Lb
La : Lb = 1 : 8
The total of spring constant is = 1 + 8 = 9
If the length of spring is L , then La
La = \(\frac{L}{9}\)
And length of B , Lb
Lb = \(\frac{8L}{9}\)
We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .
K ∝ 1 / L
If initial spring constant is k then,
kL= KaLa = KbLb
Then,
Ka = \(\frac{K}{\frac{1}{9} }\)
Ka = 9K
And Kb = \(\frac{K}{\frac{8}{9} }\)
Kb = \(\frac{9K}{8}\)
Hence, stiffness of A is given by, 9K
Stiffness of B is given by \(\frac{9K}{8}\)
Therefore,
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
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Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1?
Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units up.
Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units down.
Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.
Answer:
C
Step-by-step explanation:
edge correct
Answer:
c
bdlkbcksBIBKHBKJBCKSDBVKb vdvkjB;KJBbxjsabcjksbckjbcdmbcbncblkscbn bvklhkhbfmnnsvfuyl. jhilcvew;gflwuw
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
Write the equation of the line that is perpendicular to the line y = 5 and passing through the point (2,-5).
Step-by-step explanation:
y=5
hence the gradient of the equation is 0
so gradient of perpendicular line
m1m2=-1
0=-1 hence the question is not correct
Rectangle $ABCD$ is 8 cm by 4 cm. $M$ is the midpoint of $\overline{BC}$ , and $N$ is the midpoint of $\overline{CD}$. What is the number of square centimeters in the area of region $AMCN$?
To find the area of the region $AMCN$, we need to calculate the area of the rectangle $ABCD$ and subtract the areas of the triangles $ABM$ and $ADN$.
Given that the rectangle $ABCD$ has dimensions 8 cm by 4 cm, its area is calculated as length times width: $8, \text{cm} \times 4, \text{cm} = 32, \text{cm}^2$.
Since $M$ is the midpoint of $\overline{BC}$, we can see that $\overline{BM}$ and $\overline{CM}$ are each half the length of $\overline{BC}$. So, $\overline{BM} = \overline{CM} = \frac{1}{2} \times 4 , \text{cm} = 2 , \text{cm}$.
Similarly, $N$ is the midpoint of $\overline{CD}$, so $\overline{DN} = \overline{CN} = \frac{1}{2} \times 8 , \text{cm} = 4 , \text{cm}$.
Now, we can calculate the areas of the triangles $ABM$ and $ADN$. The area of a triangle is given by the formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.
For triangles $ABM$, the base is $\overline{AB}$, which is 8 cm, and the height is $\overline{BM}$, which is 2 cm. Thus, the area of triangle $ABM$ is: $\frac{1}{2} \times 8 , \text{cm} \times 2 , \text{cm} = 8 , \text{cm}^2$.
For triangle $ADN$, the base is $\overline{AD}$, which is 4 cm, and the height is $\overline{DN}$, which is 4 cm. Therefore, the area of triangle $ADN$ is: $\frac{1}{2} \times 4, \text{cm} \times 4, \text{cm} = 8, \text{cm}^2$.
Finally, to find the area of the region $AMCN$, we subtract the areas of the triangles $ABM$ and $ADN$ from the area of the rectangle $ABCD$:
$\text{Area of region} , AMCN = \text{Area} , ABCD - \text{Area} , ABM - \text{Area} , ADN = 32 , \text{cm}^2 - 8 , \text{cm}^2 - 8 , \text{cm}^2 = 16 , \text{cm}^2$.
Therefore, the number of square centimeters in the area $AMCN$ is 16.
The area of region $AMCN$ is $48$ square centimetres.
To find the area of region $AMCN$, we can consider that it is composed of two smaller rectangles: $AMCB$ and $ANC$.
$AMCB$ is a rectangle with length $AB = 8$ cm and width $BM = \frac{1}{2} \cdot BC = \frac{1}{2} \cdot 4$ cm (since $M$ is the midpoint of $BC$).
Therefore, the area of $AMCB$ is $8 , \text{cm} \times \frac{1}{2} \cdot 4 , \text{cm} = 16 , \text{cm}^2$.
$ANC$ is also a rectangle with length $AC = 8$ cm and width $NC = \frac{1}{2} \cdot CD = \frac{1}{2} \cdot 8$ cm (since $N$ is the midpoint of $CD$).
Therefore, the area of $ANC$ is $8 , \text{cm} \times \frac{1}{2} \cdot 8 , \text{cm} = 32 , \text{cm}^2$.
Now, add the areas of these two rectangles to find the total area of region $AMCN$:
$16 , \text{cm}^2 + 32 , \text{cm}^2 = 48 , \text{cm}^2$
So, the area of region $AMCN$ is $48$ square centimetres.
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Help! I don't know how to do this
Answer:
Below
Step-by-step explanation:
Set up a similar ratio
12 is to 7 as x is to 4
12/7 = x/4 multiply both sides by 4
48/7 = x = ~ 6.9 units
How many square feet are in 15 square yards
consider the following data for two independent random samples taken from two normal populations. sample 1 10 7 14 7 9 7 sample 2 9 7 8 4 5 9
a. Compute the two sample means.
Sample 1: Answer 9
Sample 2: Answer 7
b. Compute the two sample standard deviation (to 2 decimals).
Sample 1: Answer 2.28
Sample 2: Answer 1.79
c. What is the point estimate of the difference between the two population means? Answer
d. What is the 90% confidence interval estimate of the difference between the two population means (to 2 decimals - - use 9 degrees of freedom)? Answer
C. The point estimate of the difference between the two population means is 2.
D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)
Given that:
Sample 1 mean (x1) = 9
Sample 2 mean (x2) = 7
Sample 1 standard deviation (σ1^2) = 2.28
Sample 2 standard deviation (σ2^2) = 1.79
C. To find point estimate of the difference between the two population means.
sample mean(x1) - sample mean(x 2)
= 9 - 7
= 2
Therefore, point estimate = 2
D. To find 90% confidence interval estimate of the difference between the two population means
90% confidence for 't'
df = (n1 + n2) - 2
= 12-2
= 10
90% confidence with df = 10 is t
t = 1.812
point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)
2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)
3 - 1.812 *\(\sqrt{0.866 + 0.534}\)
1.188 * 0.9305 + 0.7307
(1.748, 0.867)
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9 in
4 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
9.8in
Step-by-step explanation:
i think this right
zab is x years old now. What is his age 7 years from now ?
Answer:
x + 7
Step-by-step explanation:
N/A
Answer:
x + 7
Step-by-step explanation:
We don’t know his current age so we can use x to represent it. In 7 years, he will obviously be 7 years older so that will be addition.
Best of Luck!
Identify the independent and dependent Quantities "When the weather is nice joe likes to work 1.75 miles from his home and he walks about 3 miles per hour
In this case, we must analyze the problem to find the solution.
The independent quantity would be the distance Joe works = 1.75 miles
The dependent quantity would be the speed at which Joe walks = 3 miles per hour.
That is the solution.
Help with this math questions. 30 points °^°
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243