Answer:
[tex]9 \cdot 10^6[/tex]
Step-by-step explanation:
A phone number contains 7 digits. How many different numbers can be made using the digits 0–9 if the first digit is not 0 and all of the digits can be repeated
In 7 digit phone number, the first number cannot be 0
So only 1 to 9 are used to get the first digit. 9 numbers can be used
other digits can use number from 0 to 9. 10 number can be used
So possible numbers can be made is
[tex]9 \ times \ 10 \ times \ 10 \ times \ 10 \ times \ 10 \ times \ 10 \ times \ 10[/tex]
[tex]9 \cdot 10^6[/tex]
The correct option is C.[tex]\ 9 \times 10^6[/tex]
To solve the problem of finding how many different [tex]7[/tex]-digit phone numbers can be made using the digits [tex]0–9[/tex], with the first digit not being 0 and digits allowed to repeat, we can follow these steps:
1. First Digit Choices
The first digit has 9 possible choices ([tex]1[/tex] through [tex]9[/tex]) since it cannot be 0.
2. Remaining Digits Choices
Each of the remaining [tex]6[/tex] digits can be any of the [tex]10[/tex] digits ([tex]0[/tex] through [tex]9[/tex]).
So, the total number of different [tex]7[/tex]-digit phone numbers can be calculated by multiplying the number of choices for each digit:
[tex]\[9 \text{ choices for the first digit} \times 10 \text{ choices for each of the remaining 6 digits}\][/tex]
This can be represented mathematically as:
[tex]\[9 \times 10^6\][/tex]
Calculating [tex]\(10^6\)[/tex]
[tex]\[10^6 = 1,000,000\][/tex]
So,
[tex]\[9 \times 1,000,000 = 9,000,000\][/tex]
At the beginning of the day, Meredith has 85.4 pounds of apple to sell at the farmers market. The table shows the change in the original amount that she has after the first several hours.
Hour | Change In Apples (lb)
--------------------------------------------
1 | -8.5
2 | -12 2/3
3 | -16 1/5
4 | -10.2
--------------------------------------------
After 4 hours, about how many pounds of apples does Meredith have left?
the answer is I think -10.2
To find out how many pounds of apples Meredith has left after 4 hours, we need to subtract the total change in apples from the original amount.
Explanation:To find out how many pounds of apples Meredith has left after 4 hours, we need to subtract the total change in apples from the original amount. Let's calculate step-by-step:
Hour 1: -8.5 poundsHour 2: -12 2/3 poundsHour 3: -16 1/5 poundsHour 4: -10.2 poundsTo find the total change, we need to add the individual changes:
Total Change = -8.5 + (-12 2/3) + (-16 1/5) + (-10.2) = -47 61/60 pounds
Now, we subtract the total change from the original amount:
Final Amount = 85.4 - 47 61/60 pounds
Calculate the final amount to find out how many pounds of apples Meredith has left.
Learn more about subtraction here:https://brainly.com/question/20438352
#SPJ11
find the percent of change. round to the nearest percent. original 132 new: 150
Answer:
13.64%
Step-by-step explanation:
The increase, from 132 to 150, is 18.
Comparing 18 to the original 132, we get 18/132 = 0.1364
Rewriting this as a percentage change, we get 0.1364, or 13.64%. The percentage increase from 132 to 150 is 13.64%.
Order the numbers from least to greatest 1, -3 and 2
the answer would be -3,1,2
Hello!
From Least To Greatest Your Numbers Would Be
-3 1 2
help ASAP
Alvin is running at a rate of 3 meters per second. The meters he runs, m, in s seconds is given by the equation m=3s. Identify the dependent and the independent variable. Explain your reasoning.
Answer:
The dependent variable is the rate (3 meters per second) and the independent variable is m (the amount of meters he runs). This is because the rate changes based on the amount of meters he runs.
Answer:
The seconds are independent and the meters are dependent
Answer please the question thank you
Answers
Part a: Opposite
Part b: cos
Part c: Adjacent
Explanation
If you doing sine, cosine, and tangent, just remember SOHCAHTOA.
Rewrite the repeated addition problem as a multipication problem and solve. 9/12+9/12=?
[tex]\bf \stackrel{\textit{let's recall that }}{a+a \implies a(1+1)\implies a(2)\implies 2a} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{a}{\cfrac{9}{12}}+\stackrel{a}{\cfrac{9}{12}}\implies \stackrel{a}{\cfrac{9}{12}}(1+1)\implies \cfrac{9}{12}(2)\implies 9\cdot \cfrac{2}{12}\implies 9\cdot \cfrac{1}{6}\implies \cfrac{9}{6}\implies \cfrac{3}{2}[/tex]
CAN SOMEONE PLES HELP ME OUT HERE!
Answer: 1/6
Step-by-step explanation:
1/6+1/6+16 hope this helps!
A bag contains 4 red marbles, 16 yellow marbles, 5 purple marbles, 16 blue marbles, and 10 green marbles. What is the probability of pulling out a red or green marble? Enter your answer in decimal form, rounded to two decimal places.
Answer:
0.27
Step-by-step explanation:
Red marbles = 4
Yellow marbles = 16
Purple marbles = 5
Blue marbles = 16
Green marbles = 10
Total marbles
= 4 + 16 + 5 + 16 + 10
= 51
Red and Green marbles
= 4 + 10
= 14
P(Red or green marbles)
= 14/51
= 0.27
Answer:
0.27
Step-by-step explanation:
Red marbles = 4
Yellow marbles = 16
Purple marbles = 5
Blue marbles = 16
Green marbles = 10
Total marbles
4 + 16 + 5 + 16 + 10 = 51
Red and Green marbles
= 4 + 10
= 14
P(Red or green marbles)
= 14/51
= 0.27
hope this helps pls make my answer the brainliest
which of the following represent the values of x, y, and z.
Answer:
Part 1) [tex]z=4\sqrt{3}\ units[/tex]
Part 2) [tex]y=4\sqrt{2}\ units[/tex]
Part 3) [tex]x=4\sqrt{6}\ units[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the value of z
In the right triangle DBC
[tex]cos(C)=\frac{4}{z}[/tex] ----> equation A
In the right triangle ABC
[tex]cos(C)=\frac{z}{12}[/tex] ----> equation B
equate equation A and equation B
[tex]\frac{4}{z}=\frac{z}{12}[/tex]
[tex]z^{2}=48[/tex]
[tex]z=4\sqrt{3}\ units[/tex]
step 2
In the right triangle DBC
Applying the Pythagoras Theorem
[tex]z^{2}=y^{2}+4^{2}[/tex]
we have
[tex]z=4\sqrt{3}\ units[/tex]
substitute
[tex](4\sqrt{3})^{2}=y^{2}+4^{2}[/tex]
[tex]48=y^{2}+16[/tex]
[tex]y^{2}=48-16[/tex]
[tex]y^{2}=32[/tex]
[tex]y=4\sqrt{2}\ units[/tex]
step 3
Find the value of x
In the right triangle ABC
Applying the Pythagoras Theorem
[tex]12^{2}=x^{2}+z^{2}[/tex]
we have
[tex]z=4\sqrt{3}\ units[/tex]
substitute
[tex]12^{2}=x^{2}+(4\sqrt{3})^{2}[/tex]
[tex]144=x^{2}+48[/tex]
[tex]x^{2}=144-48[/tex]
[tex]x^{2}=96[/tex]
[tex]x=4\sqrt{6}\ units[/tex]
Answer:
B
Step-by-step explanation:
Test Yourself
The large rectangle was reduced to create the small rectangle.What is the missing measure on the small rectangle?
Answer:
x = 4 in
Step-by-step explanation:
scale factor of reduction is
[tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex], thus
x = [tex]\frac{1}{3}[/tex] × 12 = 4
Vivek has a maximum of 49 seconds to chop tomatoes and zucchinis. It takes him 6 seconds to chop each tomato, and 4 seconds to chop each zucchini.
Write an inequality that represents the number of tomatoes (T) and zucchinis (Z) Vivek can chop within this time limit.
Answer:
[tex]6T+4Z\leq 49[/tex]
Step-by-step explanation:
Let
T----> the number of tomatoes
Z---> the number of zucchinis
we know that
The inequality that represent this situation is
[tex]6T+4Z\leq 49[/tex]
using a graphing tool
The solution is the triangular shaded area
see the attached figure
The fucntion f(x)=2x^2+3x+5 when evaluated, gives a value of 19. What is the functions input value?
Answer:
x1= 14/4 and X2 = -2
Step-by-step explanation:
To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:
2x^2+3x+5 = 19
2x^2+3x+5-19=0
2x^2+3x-14=0
Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:
a: 2 b: 3 c: 14
Using the quadratic formula, we get:
x1= 14/4 and X2 = -2
I think that I have an answer, but it is really weird. I need help!
36=x³-4x-2x²+8
Which pair of angles must be supplementary
Answer:
D.) 6 and 2
Step-by-step explanation:
Supplementary angles are two angles which sum up to 180°.
Answer:
B. [tex]\angle 2\text{ and }\angle 5[/tex]
Step-by-step explanation:
We have been given an image of intersecting lines. We are asked to find the pair of angles that must be supplementary.
We know that two angles are supplementary when they add up-to 180 degrees.
Upon looking at our given image, we can see that the measure of angle 2 and measure of angle 5 is 90 degrees. So these angles will add up-to 180 degrees, therefore, option B is the correct choice.
How does the variable of Data Set A compare to the variability of Data Set B? Data Set A: 18, 24, 29, 30, 39 Data Set B: 26, 29, 39, 40, 52
Answer:
Data set B has a higher range than data set A and thus B has a higher degree of variability than A.
Step-by-step explanation:
There are several measures of variability in Statistics among them being;
The range
The inter-quartile range
Variance and standard deviation
To compare the variability of two or more sets of data, we can compute any of the above measures of dispersion and compare them across the various data sets.
In this question we have been given two data sets;
Data Set A: 18, 24, 29, 30, 39
Data Set B: 26, 29, 39, 40, 52
The simplest measure of variability or dispersion is the range. The range is defined as the difference between the maximum and the minimum values in a data set.
The range of data set A is; 39 - 18 = 21
The range of data set B is; 52 - 26 = 26
Data set B has a higher range than data set A and thus B has a higher degree of variability than A.
Choose the graph that represents the following set. The whole number greater than 3
Step-by-step explanation:
Whole numbers means 0,1,2,3,4,5 ........................................ up to infinity.
We need to find graph of whole number greater than 3
The numbers are 4, 5 , 6 , 7 , 8 , 9 ............................................... up to infinity.
The graph representing this is the second graph.
Second graph is the correct answer.
Answer: graph number 2 is correct
Step-by-step explanation:
i just wanted to verify for others
Which expression is equivalent to...? Screenshots attached, please help.
For this case we must simplify the following expression:
[tex]\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}[/tex]
We rewrite:
[tex]64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3[/tex]
So:
[tex]\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}[/tex]
Answer:
Option B
at noon it was -18 °F in Billings MT At the some time it was 32 °F in mesa AZ how much warmer was mesa than billings at noon
50 F
32 F - - 18 = 32 F + 18= 50 F
Ken will flip a Fair coin and then randomly choose one of the three colored cords the possible outcomes are shown below what is the probability that Tails will turn up and that he will choose a red card. head and tails has the possibke outcomes of red, blue, and green
50% is ur answer your welcome
Please explain your answer as well. THX!!!!!
Answer:
1. f(x)= [tex]\left \{ {{1/xWHEN x<1 ANDx\neq 0} \atop {\sqrt[3]{x}WHEN x\geq 1}} \right.[/tex]
2. yes this graph represents a polynomial, this line is of the form y=mx+b; there are no turning points as it is a polynomial of degree 1.
Step-by-step explanation:
For problem 1:
as can be seen in the given graph, the graph of 1/x is ended at the value of x=1 and for all the values of x>1.
so the condition x<1 and x[tex]\neq[/tex]0 applies here
then for graph [tex]\sqrt[3]{x}[/tex], the graph starts from (1,1) and there is no extension of it beyond the value of x=1.
so the condition x[tex]\geq[/tex]1 applies here.
For Problem 2:
the given graph is a linear line which is represent by polynomial y=mx+b
and the polynomial y=mx+b is a polynomial of degree 1.
As the given graph is a graph of straight line represented by y=mx+b there are no turning points.
!
Translate the equation into a verbal sentence (picture) HELP ME ASAP
I believe it’s D or B
What is the area of the parallelogram?
A. 39.20 cm^2
B. 39.33 cm^2
C 56.58 cm^2
D. 78.66 cm^2
E. 93. 38 cm^2
The area is the length x the height.
Length = 11.40 cm
Height = 6.90 cm
Area = 11.40 * 6.90 = 78.66 cm^2
The answer is D.
A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measure of arc BC = 134°;
Answer:
The measures of angles of this Δ are 23° , 67° , 90°
Step-by-step explanation:
* Lets talk about some facts in the circle
- An inscribed angle is an angle made from points sitting on the
circle's circumference
- A central angle is the angle formed when the vertex is at the center
of the circle
- The measure of an arc of a circle is equal to the measure of the
central angle that intercepts the arc.
- The measure of an inscribed angle is equal to 1/2 the measure of
its intercepted arc
- An angle inscribed across a circle's diameter is always a right angle
- The triangle is inscribed in a circle if their vertices lie on the
circumference of the circle, and their angles will be inscribed
angles in the circle
* Now lets solve the problem
- Δ ABC is inscribed in a circle
∵ its side AB is a diameter of the circle
∵ Its vertex C is on the circle
∴ ∠C is inscribed and across the circle's diameter
∴ ∠C is a right angle
∴ m∠C = 90°
∵ The measure of arc BC = 134°
∵ ∠A is inscribed angle subtended by arc BC
∵ The measure of an inscribed angle is equal to 1/2 the measure
of its intercepted arc
∴ m∠A = 1/2 × 134° = 67°
∵ The sum of the measures of the interior angles of a triangle is 180°
∵ m∠A = 67°
∵ m∠C = 67°
∵ m∠A + m∠B + m∠C = 180°
∴ 67° + m∠B + 90° = 180°
∴ 157° + m∠B = 180° ⇒ subtract 157 from both sides
∴ m∠B = 23°
* The measures of angles of this Δ are 23° , 67° , 90°
Examine the lines that are cut by transversals to determine the measure of angle 1.
What is the measure of angle 1?
m <1= ?
1) 48
2) 59
3) 73
4) 132
Why?
A) It is adjacent to the 48-degree angle
B) It is an alternate exterior angle to the 48-degree angle
C) It corresponds to the 48-degree angle
D) It is supplementary to the 48-degree angle
Answer:
1) 48
C) It corresponds to the 48-degree angle
Step-by-step explanation:
k║l
1) <1 = 48
because corresponding angles are equal
Why?
C) It corresponds to the 48-degree angle
Answer:
1) 48 and C) It corresponds to the 48-degree angle.
Step-by-step explanation:
Seeing the parallel lines k and l, and the transversal line m, we have that 48° and angle 1 are corresponding angles because k and l are parallel, then, the angle formed with the same transversal line will have the same measure.
So, the measure of angle 1 is 48 (option 1) and the reason is C) It corresponds to the 48-degree angle.
To build the roof for a paper house, a rectangular paper
Answer: B
Step-by-step explanation: Got it right on edge
Answer:B
Step-by-step explanation:I did it
match to the corresponding value
ANSWER
Midline y=-1
Period= 2π
Amplitude=3
Frequency=1
EXPLANATION
The given function completes one cycle on the interval 0 to 2π.
Therefore the period of the function is
[tex]2 \pi[/tex]
The midline divides the graph into two equal halves.
This line is y=-1
The cycle repeated once on the interval [0,2π] hence the frequency is 1.
The amplitude is the distance from the midline to the peak.
=2--1=3
A large basin has the shape of a hemisphere with a radius of 25 inches. Calculate the area of rhe circle of water if the basin is filled to a depth of 10 inches
Answer:
100pi in^2, or 314.16 in^2 to nearest hundredth.
Step-by-step explanation:
The areas of the surface of water for full basin and area for the surface when the depth is 10 inches are in the ratio 25^2 : 10^2 = 6.25 : 1. (because the depth of the water = radius of the water when the basin is full).
The area for a full basin = pi r^2 = 625pi in^2.
So the area when depth is 10 inches = 625pi / 6.25 = 100pi in^2.
What is the mean absolute deviation of the data set?
2, 2, 5, 6, 8, 4, 8, 5
ANSWER
The mean absolute deviation is 1.75
EXPLANATION
The given date set is 2, 2, 5, 6, 8, 4, 8, 5
The mean is
[tex]\bar X = \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8} = 5[/tex]
The mean absolute value deviation is given by:
[tex] =\frac{ \sum |x -\bar X| }{n} [/tex]
[tex] = \frac{ | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| }{8} [/tex]
[tex]= \frac{ 3 + 3+ 0+ 1+ 3 + 1+3+ 0}{8} [/tex]
[tex] = \frac{14}{8} [/tex]
[tex] = 1.75[/tex]
I hope you can help me
Answer:
9. ∠A ≅ ∠R
10. SI ≅ GH
11. MN ≅ RN
12. FE ≅ TU
Step-by-step explanation:
Look at the reason identifier: A means "angle"; S means "side". The order is important. AAS means two adjacent angles with only one of them next to the corresponding sides. SAS means the angle is between two corresponding sides.
9. Sides CS and TS correspond and are congruent. The vertical angles at S are congruent, so the AAS identifier means you're looking for angles A and R to be congruent. (Using angles C and T would invoke the ASA identifier.)
__
10. Sides HI are congruent; the angles at H and I are congruent. The SAS identifier means you're looking for the sides on the other side of those angles to be congruent: sides SI and GH.
__
11. SSS means you're claiming all three sides are congruent to their corresponding sides. The common side is congruent to itself; the marked sides are congruent. So, you need the unmarked sides to be congruent to each other.
__
12. HL means you're claiming the hypotenuse and one leg of the right triangle are congruent. One leg is already marked, so you need the hypotenuses to be congruent.
Factor the algebraic expression below in terms of a single trigonometric function.
sin²x + sin x-2
ANSWER
[tex]( \sin(x) + 2)( \sin(x) - 1)[/tex]
EXPLANATION
The given trigonometric function is:
[tex] \sin^{2} x + \sin(x) - 2[/tex]
This is a quadratic trinomial in sinx
We split the middle term to obtain:
[tex]\sin^{2} x + 2 \sin(x) - \sin(x) - 2[/tex]
[tex] \sin \:x ( \sin(x) + 2 ) - 1( \sin(x) + 2)[/tex]
The factors are:
[tex]( \sin(x) + 2)( \sin(x) - 1)[/tex]